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Finding the Fourth Proportional to 406,057.82, 560,352.98 and 224,765.84

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Solution

The fourth proportional to 406,057.82, 560,352.98 and 224,765.84 is: 310,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,057.82 : 560,352.98 = 224,765.84 : x
  2. Step 2: Convert to fraction form
    406,057.82/560,352.98 = 224,765.84/x
  3. Step 3: Cross multiply
    406,057.82x = 560,352.98 × 224,765.84
  4. Step 4: Simplify right side
    406,057.82x = 125,948,210,209.00
  5. Step 5: Solve for x
    x = 125,948,210,209.00/406,057.82
  6. Step 6: Final answer
    x = 310,173.10

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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.