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Finding the Fourth Proportional to 284,654.88, 392,767.92 and 171,483.84

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Solution

The fourth proportional to 284,654.88, 392,767.92 and 171,483.84 is: 236,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,654.88 : 392,767.92 = 171,483.84 : x
  2. Step 2: Convert to fraction form
    284,654.88/392,767.92 = 171,483.84/x
  3. Step 3: Cross multiply
    284,654.88x = 392,767.92 × 171,483.84
  4. Step 4: Simplify right side
    284,654.88x = 67,353,351,150.41
  5. Step 5: Solve for x
    x = 67,353,351,150.41/284,654.88
  6. Step 6: Final answer
    x = 236,614.08

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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.