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Finding the Fourth Proportional to 502,670.76, 754,061.10 and 218,165.76

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Solution

The fourth proportional to 502,670.76, 754,061.10 and 218,165.76 is: 327,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,670.76 : 754,061.10 = 218,165.76 : x
  2. Step 2: Convert to fraction form
    502,670.76/754,061.10 = 218,165.76/x
  3. Step 3: Cross multiply
    502,670.76x = 754,061.10 × 218,165.76
  4. Step 4: Simplify right side
    502,670.76x = 164,510,312,967.94
  5. Step 5: Solve for x
    x = 164,510,312,967.94/502,670.76
  6. Step 6: Final answer
    x = 327,272.49

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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.