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Finding the Fourth Proportional to 406,460.95, 560,950.57 and 225,229.73

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Solution

The fourth proportional to 406,460.95, 560,950.57 and 225,229.73 is: 310,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,460.95 : 560,950.57 = 225,229.73 : x
  2. Step 2: Convert to fraction form
    406,460.95/560,950.57 = 225,229.73/x
  3. Step 3: Cross multiply
    406,460.95x = 560,950.57 × 225,229.73
  4. Step 4: Simplify right side
    406,460.95x = 126,342,745,424.45
  5. Step 5: Solve for x
    x = 126,342,745,424.45/406,460.95
  6. Step 6: Final answer
    x = 310,836.12

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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.