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Finding the Fourth Proportional to 418,780.94, 578,020.33 and 237,598.92

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Solution

The fourth proportional to 418,780.94, 578,020.33 and 237,598.92 is: 327,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,780.94 : 578,020.33 = 237,598.92 : x
  2. Step 2: Convert to fraction form
    418,780.94/578,020.33 = 237,598.92/x
  3. Step 3: Cross multiply
    418,780.94x = 578,020.33 × 237,598.92
  4. Step 4: Simplify right side
    418,780.94x = 137,337,006,146.04
  5. Step 5: Solve for x
    x = 137,337,006,146.04/418,780.94
  6. Step 6: Final answer
    x = 327,944.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.