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Finding the Fourth Proportional to 310,569.20, 465,853.44 and 97,338.56

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Solution

The fourth proportional to 310,569.20, 465,853.44 and 97,338.56 is: 146,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,569.20 : 465,853.44 = 97,338.56 : x
  2. Step 2: Convert to fraction form
    310,569.20/465,853.44 = 97,338.56/x
  3. Step 3: Cross multiply
    310,569.20x = 465,853.44 × 97,338.56
  4. Step 4: Simplify right side
    310,569.20x = 45,345,503,020.65
  5. Step 5: Solve for x
    x = 45,345,503,020.65/310,569.20
  6. Step 6: Final answer
    x = 146,007.73

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1.5x scale

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.