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Finding the Fourth Proportional to 598,766.90, 898,150.35 and 409,810.10

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Solution

The fourth proportional to 598,766.90, 898,150.35 and 409,810.10 is: 614,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,766.90 : 898,150.35 = 409,810.10 : x
  2. Step 2: Convert to fraction form
    598,766.90/898,150.35 = 409,810.10/x
  3. Step 3: Cross multiply
    598,766.90x = 898,150.35 × 409,810.10
  4. Step 4: Simplify right side
    598,766.90x = 368,071,084,748.54
  5. Step 5: Solve for x
    x = 368,071,084,748.54/598,766.90
  6. Step 6: Final answer
    x = 614,715.15

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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.