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Finding the Fourth Proportional to 284,051.68, 392,133.35 and 176,656.31

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Solution

The fourth proportional to 284,051.68, 392,133.35 and 176,656.31 is: 243,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,051.68 : 392,133.35 = 176,656.31 : x
  2. Step 2: Convert to fraction form
    284,051.68/392,133.35 = 176,656.31/x
  3. Step 3: Cross multiply
    284,051.68x = 392,133.35 × 176,656.31
  4. Step 4: Simplify right side
    284,051.68x = 69,272,829,755.66
  5. Step 5: Solve for x
    x = 69,272,829,755.66/284,051.68
  6. Step 6: Final answer
    x = 243,874.04

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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.