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Finding the Fourth Proportional to 502,501.73, 753,590.54 and 165,462.24

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Solution

The fourth proportional to 502,501.73, 753,590.54 and 165,462.24 is: 248,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,501.73 : 753,590.54 = 165,462.24 : x
  2. Step 2: Convert to fraction form
    502,501.73/753,590.54 = 165,462.24/x
  3. Step 3: Cross multiply
    502,501.73x = 753,590.54 × 165,462.24
  4. Step 4: Simplify right side
    502,501.73x = 124,690,781,100.11
  5. Step 5: Solve for x
    x = 124,690,781,100.11/502,501.73
  6. Step 6: Final answer
    x = 248,140.01

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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.