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Finding the Fourth Proportional to 581,690.26, 872,064.71 and 261,607.71

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Solution

The fourth proportional to 581,690.26, 872,064.71 and 261,607.71 is: 392,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,690.26 : 872,064.71 = 261,607.71 : x
  2. Step 2: Convert to fraction form
    581,690.26/872,064.71 = 261,607.71/x
  3. Step 3: Cross multiply
    581,690.26x = 872,064.71 × 261,607.71
  4. Step 4: Simplify right side
    581,690.26x = 228,138,851,754.91
  5. Step 5: Solve for x
    x = 228,138,851,754.91/581,690.26
  6. Step 6: Final answer
    x = 392,199.88

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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.