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Finding the Fourth Proportional to 284,051.30, 392,132.83 and 176,655.94

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Solution

The fourth proportional to 284,051.30, 392,132.83 and 176,655.94 is: 243,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.30 : 392,132.83 = 176,655.94 : x
  2. Step 2: Convert to fraction form
    284,051.30/392,132.83 = 176,655.94/x
  3. Step 3: Cross multiply
    284,051.30x = 392,132.83 × 176,655.94
  4. Step 4: Simplify right side
    284,051.30x = 69,272,591,286.21
  5. Step 5: Solve for x
    x = 69,272,591,286.21/284,051.30
  6. Step 6: Final answer
    x = 243,873.52

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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.