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Finding the Fourth Proportional to 502,795.47, 754,031.21 and 165,757.71

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Solution

The fourth proportional to 502,795.47, 754,031.21 and 165,757.71 is: 248,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,795.47 : 754,031.21 = 165,757.71 : x
  2. Step 2: Convert to fraction form
    502,795.47/754,031.21 = 165,757.71/x
  3. Step 3: Cross multiply
    502,795.47x = 754,031.21 × 165,757.71
  4. Step 4: Simplify right side
    502,795.47x = 124,986,485,809.34
  5. Step 5: Solve for x
    x = 124,986,485,809.34/502,795.47
  6. Step 6: Final answer
    x = 248,583.16

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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.