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Finding the Fourth Proportional to 471,505.31, 707,264.46 and 134,545.86

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Solution

The fourth proportional to 471,505.31, 707,264.46 and 134,545.86 is: 201,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,505.31 : 707,264.46 = 134,545.86 : x
  2. Step 2: Convert to fraction form
    471,505.31/707,264.46 = 134,545.86/x
  3. Step 3: Cross multiply
    471,505.31x = 707,264.46 × 134,545.86
  4. Step 4: Simplify right side
    471,505.31x = 95,159,505,018.14
  5. Step 5: Solve for x
    x = 95,159,505,018.14/471,505.31
  6. Step 6: Final answer
    x = 201,820.64

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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.