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Finding the Fourth Proportional to 502,818.52, 754,227.54 and 147,835.48

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Solution

The fourth proportional to 502,818.52, 754,227.54 and 147,835.48 is: 221,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,818.52 : 754,227.54 = 147,835.48 : x
  2. Step 2: Convert to fraction form
    502,818.52/754,227.54 = 147,835.48/x
  3. Step 3: Cross multiply
    502,818.52x = 754,227.54 × 147,835.48
  4. Step 4: Simplify right side
    502,818.52x = 111,501,590,405.12
  5. Step 5: Solve for x
    x = 111,501,590,405.12/502,818.52
  6. Step 6: Final answer
    x = 221,753.15

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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.