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Finding the Fourth Proportional to 502,462.40, 753,463.20 and 221,835.20

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Solution

The fourth proportional to 502,462.40, 753,463.20 and 221,835.20 is: 332,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,462.40 : 753,463.20 = 221,835.20 : x
  2. Step 2: Convert to fraction form
    502,462.40/753,463.20 = 221,835.20/x
  3. Step 3: Cross multiply
    502,462.40x = 753,463.20 × 221,835.20
  4. Step 4: Simplify right side
    502,462.40x = 167,144,659,664.64
  5. Step 5: Solve for x
    x = 167,144,659,664.64/502,462.40
  6. Step 6: Final answer
    x = 332,651.08

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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.