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Finding the Fourth Proportional to 364,780.62, 546,049.82 and 310,972.32

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Solution

The fourth proportional to 364,780.62, 546,049.82 and 310,972.32 is: 465,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,780.62 : 546,049.82 = 310,972.32 : x
  2. Step 2: Convert to fraction form
    364,780.62/546,049.82 = 310,972.32/x
  3. Step 3: Cross multiply
    364,780.62x = 546,049.82 × 310,972.32
  4. Step 4: Simplify right side
    364,780.62x = 169,806,377,806.12
  5. Step 5: Solve for x
    x = 169,806,377,806.12/364,780.62
  6. Step 6: Final answer
    x = 465,502.74

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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.