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Finding the Fourth Proportional to 280,337.38, 386,829.41 and 157,814.28

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Solution

The fourth proportional to 280,337.38, 386,829.41 and 157,814.28 is: 217,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,337.38 : 386,829.41 = 157,814.28 : x
  2. Step 2: Convert to fraction form
    280,337.38/386,829.41 = 157,814.28/x
  3. Step 3: Cross multiply
    280,337.38x = 386,829.41 × 157,814.28
  4. Step 4: Simplify right side
    280,337.38x = 61,047,204,032.90
  5. Step 5: Solve for x
    x = 61,047,204,032.90/280,337.38
  6. Step 6: Final answer
    x = 217,763.34

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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.