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Finding the Fourth Proportional to 414,503.76, 571,974.36 and 233,211.69

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Solution

The fourth proportional to 414,503.76, 571,974.36 and 233,211.69 is: 321,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,503.76 : 571,974.36 = 233,211.69 : x
  2. Step 2: Convert to fraction form
    414,503.76/571,974.36 = 233,211.69/x
  3. Step 3: Cross multiply
    414,503.76x = 571,974.36 × 233,211.69
  4. Step 4: Simplify right side
    414,503.76x = 133,391,107,132.27
  5. Step 5: Solve for x
    x = 133,391,107,132.27/414,503.76
  6. Step 6: Final answer
    x = 321,809.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.