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Finding the Fourth Proportional to 406,524.32, 561,008.02 and 225,239.08

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Solution

The fourth proportional to 406,524.32, 561,008.02 and 225,239.08 is: 310,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,524.32 : 561,008.02 = 225,239.08 : x
  2. Step 2: Convert to fraction form
    406,524.32/561,008.02 = 225,239.08/x
  3. Step 3: Cross multiply
    406,524.32x = 561,008.02 × 225,239.08
  4. Step 4: Simplify right side
    406,524.32x = 126,360,930,297.42
  5. Step 5: Solve for x
    x = 126,360,930,297.42/406,524.32
  6. Step 6: Final answer
    x = 310,832.40

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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.