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Finding the Fourth Proportional to 418,783.94, 578,024.47 and 237,601.92

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Solution

The fourth proportional to 418,783.94, 578,024.47 and 237,601.92 is: 327,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,783.94 : 578,024.47 = 237,601.92 : x
  2. Step 2: Convert to fraction form
    418,783.94/578,024.47 = 237,601.92/x
  3. Step 3: Cross multiply
    418,783.94x = 578,024.47 × 237,601.92
  4. Step 4: Simplify right side
    418,783.94x = 137,339,723,878.98
  5. Step 5: Solve for x
    x = 137,339,723,878.98/418,783.94
  6. Step 6: Final answer
    x = 327,948.88

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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.