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Finding the Fourth Proportional to 610,257.44, 842,205.16 and 338,410.60

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Solution

The fourth proportional to 610,257.44, 842,205.16 and 338,410.60 is: 467,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,257.44 : 842,205.16 = 338,410.60 : x
  2. Step 2: Convert to fraction form
    610,257.44/842,205.16 = 338,410.60/x
  3. Step 3: Cross multiply
    610,257.44x = 842,205.16 × 338,410.60
  4. Step 4: Simplify right side
    610,257.44x = 285,011,153,518.70
  5. Step 5: Solve for x
    x = 285,011,153,518.70/610,257.44
  6. Step 6: Final answer
    x = 467,034.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.