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Finding the Fourth Proportional to 316,451.76, 474,524.16 and 116,866.16

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Solution

The fourth proportional to 316,451.76, 474,524.16 and 116,866.16 is: 175,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,451.76 : 474,524.16 = 116,866.16 : x
  2. Step 2: Convert to fraction form
    316,451.76/474,524.16 = 116,866.16/x
  3. Step 3: Cross multiply
    316,451.76x = 474,524.16 × 116,866.16
  4. Step 4: Simplify right side
    316,451.76x = 55,455,816,406.43
  5. Step 5: Solve for x
    x = 55,455,816,406.43/316,451.76
  6. Step 6: Final answer
    x = 175,242.56

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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.