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Finding the Fourth Proportional to 406,733.52, 561,325.89 and 225,502.32

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Solution

The fourth proportional to 406,733.52, 561,325.89 and 225,502.32 is: 311,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,733.52 : 561,325.89 = 225,502.32 : x
  2. Step 2: Convert to fraction form
    406,733.52/561,325.89 = 225,502.32/x
  3. Step 3: Cross multiply
    406,733.52x = 561,325.89 × 225,502.32
  4. Step 4: Simplify right side
    406,733.52x = 126,580,290,471.07
  5. Step 5: Solve for x
    x = 126,580,290,471.07/406,733.52
  6. Step 6: Final answer
    x = 311,211.85

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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.