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Finding the Fourth Proportional to 564,081.20, 847,504.20 and 424,113.20

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Solution

The fourth proportional to 564,081.20, 847,504.20 and 424,113.20 is: 637,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,081.20 : 847,504.20 = 424,113.20 : x
  2. Step 2: Convert to fraction form
    564,081.20/847,504.20 = 424,113.20/x
  3. Step 3: Cross multiply
    564,081.20x = 847,504.20 × 424,113.20
  4. Step 4: Simplify right side
    564,081.20x = 359,437,718,275.44
  5. Step 5: Solve for x
    x = 359,437,718,275.44/564,081.20
  6. Step 6: Final answer
    x = 637,209.18

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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.