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Finding the Fourth Proportional to 502,507.74, 753,599.54 and 165,468.24

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Solution

The fourth proportional to 502,507.74, 753,599.54 and 165,468.24 is: 248,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,507.74 : 753,599.54 = 165,468.24 : x
  2. Step 2: Convert to fraction form
    502,507.74/753,599.54 = 165,468.24/x
  3. Step 3: Cross multiply
    502,507.74x = 753,599.54 × 165,468.24
  4. Step 4: Simplify right side
    502,507.74x = 124,696,789,548.61
  5. Step 5: Solve for x
    x = 124,696,789,548.61/502,507.74
  6. Step 6: Final answer
    x = 248,148.99

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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.