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Finding the Fourth Proportional to 502,795.98, 754,031.96 and 165,758.22

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Solution

The fourth proportional to 502,795.98, 754,031.96 and 165,758.22 is: 248,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,795.98 : 754,031.96 = 165,758.22 : x
  2. Step 2: Convert to fraction form
    502,795.98/754,031.96 = 165,758.22/x
  3. Step 3: Cross multiply
    502,795.98x = 754,031.96 × 165,758.22
  4. Step 4: Simplify right side
    502,795.98x = 124,986,995,512.71
  5. Step 5: Solve for x
    x = 124,986,995,512.71/502,795.98
  6. Step 6: Final answer
    x = 248,583.92

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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.