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Finding the Fourth Proportional to 472,513.96, 708,674.28 and 135,464.32

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Solution

The fourth proportional to 472,513.96, 708,674.28 and 135,464.32 is: 203,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,513.96 : 708,674.28 = 135,464.32 : x
  2. Step 2: Convert to fraction form
    472,513.96/708,674.28 = 135,464.32/x
  3. Step 3: Cross multiply
    472,513.96x = 708,674.28 × 135,464.32
  4. Step 4: Simplify right side
    472,513.96x = 96,000,079,441.69
  5. Step 5: Solve for x
    x = 96,000,079,441.69/472,513.96
  6. Step 6: Final answer
    x = 203,168.77

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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.