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Finding the Fourth Proportional to 316,843.12, 474,652.24 and 176,175.28

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Solution

The fourth proportional to 316,843.12, 474,652.24 and 176,175.28 is: 263,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,843.12 : 474,652.24 = 176,175.28 : x
  2. Step 2: Convert to fraction form
    316,843.12/474,652.24 = 176,175.28/x
  3. Step 3: Cross multiply
    316,843.12x = 474,652.24 × 176,175.28
  4. Step 4: Simplify right side
    316,843.12x = 83,621,989,657.56
  5. Step 5: Solve for x
    x = 83,621,989,657.56/316,843.12
  6. Step 6: Final answer
    x = 263,922.38

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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.