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Finding the Fourth Proportional to 472,568.96, 708,756.75 and 135,519.32

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Solution

The fourth proportional to 472,568.96, 708,756.75 and 135,519.32 is: 203,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,568.96 : 708,756.75 = 135,519.32 : x
  2. Step 2: Convert to fraction form
    472,568.96/708,756.75 = 135,519.32/x
  3. Step 3: Cross multiply
    472,568.96x = 708,756.75 × 135,519.32
  4. Step 4: Simplify right side
    472,568.96x = 96,050,232,805.41
  5. Step 5: Solve for x
    x = 96,050,232,805.41/472,568.96
  6. Step 6: Final answer
    x = 203,251.25

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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.