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Finding the Fourth Proportional to 502,223.49, 753,335.25 and 221,684.85

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Solution

The fourth proportional to 502,223.49, 753,335.25 and 221,684.85 is: 332,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,223.49 : 753,335.25 = 221,684.85 : x
  2. Step 2: Convert to fraction form
    502,223.49/753,335.25 = 221,684.85/x
  3. Step 3: Cross multiply
    502,223.49x = 753,335.25 × 221,684.85
  4. Step 4: Simplify right side
    502,223.49x = 167,003,011,895.96
  5. Step 5: Solve for x
    x = 167,003,011,895.96/502,223.49
  6. Step 6: Final answer
    x = 332,527.28

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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.