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Finding the Fourth Proportional to 471,275.34, 706,825.20 and 151,432.74

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Solution

The fourth proportional to 471,275.34, 706,825.20 and 151,432.74 is: 227,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,275.34 : 706,825.20 = 151,432.74 : x
  2. Step 2: Convert to fraction form
    471,275.34/706,825.20 = 151,432.74/x
  3. Step 3: Cross multiply
    471,275.34x = 706,825.20 × 151,432.74
  4. Step 4: Simplify right side
    471,275.34x = 107,036,476,737.05
  5. Step 5: Solve for x
    x = 107,036,476,737.05/471,275.34
  6. Step 6: Final answer
    x = 227,120.89

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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.