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Finding the Fourth Proportional to 610,314.04, 842,451.35 and 416,583.09

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Solution

The fourth proportional to 610,314.04, 842,451.35 and 416,583.09 is: 575,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,314.04 : 842,451.35 = 416,583.09 : x
  2. Step 2: Convert to fraction form
    610,314.04/842,451.35 = 416,583.09/x
  3. Step 3: Cross multiply
    610,314.04x = 842,451.35 × 416,583.09
  4. Step 4: Simplify right side
    610,314.04x = 350,950,984,474.76
  5. Step 5: Solve for x
    x = 350,950,984,474.76/610,314.04
  6. Step 6: Final answer
    x = 575,033.44

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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.