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Finding the Fourth Proportional to 502,614.72, 754,015.50 and 165,678.98

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Solution

The fourth proportional to 502,614.72, 754,015.50 and 165,678.98 is: 248,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,614.72 : 754,015.50 = 165,678.98 : x
  2. Step 2: Convert to fraction form
    502,614.72/754,015.50 = 165,678.98/x
  3. Step 3: Cross multiply
    502,614.72x = 754,015.50 × 165,678.98
  4. Step 4: Simplify right side
    502,614.72x = 124,924,515,174.11
  5. Step 5: Solve for x
    x = 124,924,515,174.11/502,614.72
  6. Step 6: Final answer
    x = 248,549.26

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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.