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Finding the Fourth Proportional to 406,453.54, 560,899.98 and 225,165.16

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Solution

The fourth proportional to 406,453.54, 560,899.98 and 225,165.16 is: 310,724.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,453.54 : 560,899.98 = 225,165.16 : x
  2. Step 2: Convert to fraction form
    406,453.54/560,899.98 = 225,165.16/x
  3. Step 3: Cross multiply
    406,453.54x = 560,899.98 × 225,165.16
  4. Step 4: Simplify right side
    406,453.54x = 126,295,133,740.70
  5. Step 5: Solve for x
    x = 126,295,133,740.70/406,453.54
  6. Step 6: Final answer
    x = 310,724.65

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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.