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Finding the Fourth Proportional to 502,972.65, 754,052.76 and 165,802.86

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Solution

The fourth proportional to 502,972.65, 754,052.76 and 165,802.86 is: 248,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,972.65 : 754,052.76 = 165,802.86 : x
  2. Step 2: Convert to fraction form
    502,972.65/754,052.76 = 165,802.86/x
  3. Step 3: Cross multiply
    502,972.65x = 754,052.76 × 165,802.86
  4. Step 4: Simplify right side
    502,972.65x = 125,024,104,198.89
  5. Step 5: Solve for x
    x = 125,024,104,198.89/502,972.65
  6. Step 6: Final answer
    x = 248,570.38

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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.