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Finding the Fourth Proportional to 487,761.14, 731,459.92 and 167,823.55

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Solution

The fourth proportional to 487,761.14, 731,459.92 and 167,823.55 is: 251,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,761.14 : 731,459.92 = 167,823.55 : x
  2. Step 2: Convert to fraction form
    487,761.14/731,459.92 = 167,823.55/x
  3. Step 3: Cross multiply
    487,761.14x = 731,459.92 × 167,823.55
  4. Step 4: Simplify right side
    487,761.14x = 122,756,197,152.09
  5. Step 5: Solve for x
    x = 122,756,197,152.09/487,761.14
  6. Step 6: Final answer
    x = 251,672.77

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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.