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Finding the Fourth Proportional to 472,108.32, 708,263.19 and 152,278.20

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Solution

The fourth proportional to 472,108.32, 708,263.19 and 152,278.20 is: 228,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,108.32 : 708,263.19 = 152,278.20 : x
  2. Step 2: Convert to fraction form
    472,108.32/708,263.19 = 152,278.20/x
  3. Step 3: Cross multiply
    472,108.32x = 708,263.19 × 152,278.20
  4. Step 4: Simplify right side
    472,108.32x = 107,853,043,699.46
  5. Step 5: Solve for x
    x = 107,853,043,699.46/472,108.32
  6. Step 6: Final answer
    x = 228,449.78

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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.