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Finding the Fourth Proportional to 502,746.70, 753,695.16 and 218,222.05

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Solution

The fourth proportional to 502,746.70, 753,695.16 and 218,222.05 is: 327,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,746.70 : 753,695.16 = 218,222.05 : x
  2. Step 2: Convert to fraction form
    502,746.70/753,695.16 = 218,222.05/x
  3. Step 3: Cross multiply
    502,746.70x = 753,695.16 × 218,222.05
  4. Step 4: Simplify right side
    502,746.70x = 164,472,902,890.28
  5. Step 5: Solve for x
    x = 164,472,902,890.28/502,746.70
  6. Step 6: Final answer
    x = 327,148.65

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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.