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Finding the Fourth Proportional to 310,535.30, 465,470.76 and 160,624.64

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Solution

The fourth proportional to 310,535.30, 465,470.76 and 160,624.64 is: 240,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,535.30 : 465,470.76 = 160,624.64 : x
  2. Step 2: Convert to fraction form
    310,535.30/465,470.76 = 160,624.64/x
  3. Step 3: Cross multiply
    310,535.30x = 465,470.76 × 160,624.64
  4. Step 4: Simplify right side
    310,535.30x = 74,766,073,255.53
  5. Step 5: Solve for x
    x = 74,766,073,255.53/310,535.30
  6. Step 6: Final answer
    x = 240,765.13

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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.