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Finding the Fourth Proportional to 406,188.18, 560,560.38 and 224,920.14

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Solution

The fourth proportional to 406,188.18, 560,560.38 and 224,920.14 is: 310,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,188.18 : 560,560.38 = 224,920.14 : x
  2. Step 2: Convert to fraction form
    406,188.18/560,560.38 = 224,920.14/x
  3. Step 3: Cross multiply
    406,188.18x = 560,560.38 × 224,920.14
  4. Step 4: Simplify right side
    406,188.18x = 126,081,319,148.05
  5. Step 5: Solve for x
    x = 126,081,319,148.05/406,188.18
  6. Step 6: Final answer
    x = 310,401.25

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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.