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Finding the Fourth Proportional to 316,906.20, 437,342.60 and 180,962.28

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Solution

The fourth proportional to 316,906.20, 437,342.60 and 180,962.28 is: 249,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,906.20 : 437,342.60 = 180,962.28 : x
  2. Step 2: Convert to fraction form
    316,906.20/437,342.60 = 180,962.28/x
  3. Step 3: Cross multiply
    316,906.20x = 437,342.60 × 180,962.28
  4. Step 4: Simplify right side
    316,906.20x = 79,142,514,037.13
  5. Step 5: Solve for x
    x = 79,142,514,037.13/316,906.20
  6. Step 6: Final answer
    x = 249,734.82

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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.