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Finding the Fourth Proportional to 413,917.32, 620,356.86 and 176,981.88

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Solution

The fourth proportional to 413,917.32, 620,356.86 and 176,981.88 is: 265,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,917.32 : 620,356.86 = 176,981.88 : x
  2. Step 2: Convert to fraction form
    413,917.32/620,356.86 = 176,981.88/x
  3. Step 3: Cross multiply
    413,917.32x = 620,356.86 × 176,981.88
  4. Step 4: Simplify right side
    413,917.32x = 109,791,923,353.70
  5. Step 5: Solve for x
    x = 109,791,923,353.70/413,917.32
  6. Step 6: Final answer
    x = 265,250.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.