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Finding the Fourth Proportional to 584,420.29, 806,634.25 and 342,780.71

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Solution

The fourth proportional to 584,420.29, 806,634.25 and 342,780.71 is: 473,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,420.29 : 806,634.25 = 342,780.71 : x
  2. Step 2: Convert to fraction form
    584,420.29/806,634.25 = 342,780.71/x
  3. Step 3: Cross multiply
    584,420.29x = 806,634.25 × 342,780.71
  4. Step 4: Simplify right side
    584,420.29x = 276,498,656,035.20
  5. Step 5: Solve for x
    x = 276,498,656,035.20/584,420.29
  6. Step 6: Final answer
    x = 473,116.12

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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.