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Finding the Fourth Proportional to 486,184.60, 728,402.10 and 416,200.60

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Solution

The fourth proportional to 486,184.60, 728,402.10 and 416,200.60 is: 623,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,184.60 : 728,402.10 = 416,200.60 : x
  2. Step 2: Convert to fraction form
    486,184.60/728,402.10 = 416,200.60/x
  3. Step 3: Cross multiply
    486,184.60x = 728,402.10 × 416,200.60
  4. Step 4: Simplify right side
    486,184.60x = 303,161,391,061.26
  5. Step 5: Solve for x
    x = 303,161,391,061.26/486,184.60
  6. Step 6: Final answer
    x = 623,552.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.