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Finding the Fourth Proportional to 584,421.29, 806,635.63 and 342,781.71

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Solution

The fourth proportional to 584,421.29, 806,635.63 and 342,781.71 is: 473,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,421.29 : 806,635.63 = 342,781.71 : x
  2. Step 2: Convert to fraction form
    584,421.29/806,635.63 = 342,781.71/x
  3. Step 3: Cross multiply
    584,421.29x = 806,635.63 × 342,781.71
  4. Step 4: Simplify right side
    584,421.29x = 276,499,940,598.33
  5. Step 5: Solve for x
    x = 276,499,940,598.33/584,421.29
  6. Step 6: Final answer
    x = 473,117.50

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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.