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Finding the Fourth Proportional to 317,642.98, 476,337.30 and 140,023.76

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Solution

The fourth proportional to 317,642.98, 476,337.30 and 140,023.76 is: 209,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,642.98 : 476,337.30 = 140,023.76 : x
  2. Step 2: Convert to fraction form
    317,642.98/476,337.30 = 140,023.76/x
  3. Step 3: Cross multiply
    317,642.98x = 476,337.30 × 140,023.76
  4. Step 4: Simplify right side
    317,642.98x = 66,698,539,774.25
  5. Step 5: Solve for x
    x = 66,698,539,774.25/317,642.98
  6. Step 6: Final answer
    x = 209,979.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.