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Finding the Fourth Proportional to 471,468.74, 707,214.11 and 134,539.52

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Solution

The fourth proportional to 471,468.74, 707,214.11 and 134,539.52 is: 201,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,468.74 : 707,214.11 = 134,539.52 : x
  2. Step 2: Convert to fraction form
    471,468.74/707,214.11 = 134,539.52/x
  3. Step 3: Cross multiply
    471,468.74x = 707,214.11 × 134,539.52
  4. Step 4: Simplify right side
    471,468.74x = 95,148,242,687.86
  5. Step 5: Solve for x
    x = 95,148,242,687.86/471,468.74
  6. Step 6: Final answer
    x = 201,812.41

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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.