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Finding the Fourth Proportional to 314,523.96, 471,801.46 and 89,917.24

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Solution

The fourth proportional to 314,523.96, 471,801.46 and 89,917.24 is: 134,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,523.96 : 471,801.46 = 89,917.24 : x
  2. Step 2: Convert to fraction form
    314,523.96/471,801.46 = 89,917.24/x
  3. Step 3: Cross multiply
    314,523.96x = 471,801.46 × 89,917.24
  4. Step 4: Simplify right side
    314,523.96x = 42,423,084,760.10
  5. Step 5: Solve for x
    x = 42,423,084,760.10/314,523.96
  6. Step 6: Final answer
    x = 134,880.29

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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.