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Finding the Fourth Proportional to 472,546.96, 708,723.78 and 135,497.32

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Solution

The fourth proportional to 472,546.96, 708,723.78 and 135,497.32 is: 203,218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,546.96 : 708,723.78 = 135,497.32 : x
  2. Step 2: Convert to fraction form
    472,546.96/708,723.78 = 135,497.32/x
  3. Step 3: Cross multiply
    472,546.96x = 708,723.78 × 135,497.32
  4. Step 4: Simplify right side
    472,546.96x = 96,030,172,810.27
  5. Step 5: Solve for x
    x = 96,030,172,810.27/472,546.96
  6. Step 6: Final answer
    x = 203,218.26

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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.