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Finding the Fourth Proportional to 472,227.05, 708,441.42 and 152,397.13

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Solution

The fourth proportional to 472,227.05, 708,441.42 and 152,397.13 is: 228,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,227.05 : 708,441.42 = 152,397.13 : x
  2. Step 2: Convert to fraction form
    472,227.05/708,441.42 = 152,397.13/x
  3. Step 3: Cross multiply
    472,227.05x = 708,441.42 × 152,397.13
  4. Step 4: Simplify right side
    472,227.05x = 107,964,439,181.13
  5. Step 5: Solve for x
    x = 107,964,439,181.13/472,227.05
  6. Step 6: Final answer
    x = 228,628.24

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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.