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Finding the Fourth Proportional to 502,617.33, 753,889.05 and 147,659.13

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Solution

The fourth proportional to 502,617.33, 753,889.05 and 147,659.13 is: 221,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,617.33 : 753,889.05 = 147,659.13 : x
  2. Step 2: Convert to fraction form
    502,617.33/753,889.05 = 147,659.13/x
  3. Step 3: Cross multiply
    502,617.33x = 753,889.05 × 147,659.13
  4. Step 4: Simplify right side
    502,617.33x = 111,318,601,239.53
  5. Step 5: Solve for x
    x = 111,318,601,239.53/502,617.33
  6. Step 6: Final answer
    x = 221,477.84

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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.