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Finding the Fourth Proportional to 598,877.20, 898,570.95 and 314,785.90

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Solution

The fourth proportional to 598,877.20, 898,570.95 and 314,785.90 is: 472,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,877.20 : 898,570.95 = 314,785.90 : x
  2. Step 2: Convert to fraction form
    598,877.20/898,570.95 = 314,785.90/x
  3. Step 3: Cross multiply
    598,877.20x = 898,570.95 × 314,785.90
  4. Step 4: Simplify right side
    598,877.20x = 282,857,465,209.61
  5. Step 5: Solve for x
    x = 282,857,465,209.61/598,877.20
  6. Step 6: Final answer
    x = 472,312.96

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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.