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Finding the Fourth Proportional to 406,686.70, 561,227.70 and 225,410.32

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Solution

The fourth proportional to 406,686.70, 561,227.70 and 225,410.32 is: 311,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,686.70 : 561,227.70 = 225,410.32 : x
  2. Step 2: Convert to fraction form
    406,686.70/561,227.70 = 225,410.32/x
  3. Step 3: Cross multiply
    406,686.70x = 561,227.70 × 225,410.32
  4. Step 4: Simplify right side
    406,686.70x = 126,506,515,449.86
  5. Step 5: Solve for x
    x = 126,506,515,449.86/406,686.70
  6. Step 6: Final answer
    x = 311,066.27

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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.