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Finding the Fourth Proportional to 502,564.16, 753,957.36 and 165,591.20

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Solution

The fourth proportional to 502,564.16, 753,957.36 and 165,591.20 is: 248,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,564.16 : 753,957.36 = 165,591.20 : x
  2. Step 2: Convert to fraction form
    502,564.16/753,957.36 = 165,591.20/x
  3. Step 3: Cross multiply
    502,564.16x = 753,957.36 × 165,591.20
  4. Step 4: Simplify right side
    502,564.16x = 124,848,703,991.23
  5. Step 5: Solve for x
    x = 124,848,703,991.23/502,564.16
  6. Step 6: Final answer
    x = 248,423.41

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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.