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Finding the Fourth Proportional to 610,744.32, 842,829.30 and 338,817.60

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Solution

The fourth proportional to 610,744.32, 842,829.30 and 338,817.60 is: 467,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,744.32 : 842,829.30 = 338,817.60 : x
  2. Step 2: Convert to fraction form
    610,744.32/842,829.30 = 338,817.60/x
  3. Step 3: Cross multiply
    610,744.32x = 842,829.30 × 338,817.60
  4. Step 4: Simplify right side
    610,744.32x = 285,565,400,635.68
  5. Step 5: Solve for x
    x = 285,565,400,635.68/610,744.32
  6. Step 6: Final answer
    x = 467,569.47

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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.