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Finding the Fourth Proportional to 472,102.08, 708,263.76 and 187,808.76

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Solution

The fourth proportional to 472,102.08, 708,263.76 and 187,808.76 is: 281,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,102.08 : 708,263.76 = 187,808.76 : x
  2. Step 2: Convert to fraction form
    472,102.08/708,263.76 = 187,808.76/x
  3. Step 3: Cross multiply
    472,102.08x = 708,263.76 × 187,808.76
  4. Step 4: Simplify right side
    472,102.08x = 133,018,138,518.54
  5. Step 5: Solve for x
    x = 133,018,138,518.54/472,102.08
  6. Step 6: Final answer
    x = 281,757.15

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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.