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Finding the Fourth Proportional to 291,470.40, 437,310.72 and 101,959.20

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Solution

The fourth proportional to 291,470.40, 437,310.72 and 101,959.20 is: 152,975.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,470.40 : 437,310.72 = 101,959.20 : x
  2. Step 2: Convert to fraction form
    291,470.40/437,310.72 = 101,959.20/x
  3. Step 3: Cross multiply
    291,470.40x = 437,310.72 × 101,959.20
  4. Step 4: Simplify right side
    291,470.40x = 44,587,851,162.62
  5. Step 5: Solve for x
    x = 44,587,851,162.62/291,470.40
  6. Step 6: Final answer
    x = 152,975.57

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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.