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Finding the Fourth Proportional to 406,674.61, 561,211.01 and 225,398.24

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Solution

The fourth proportional to 406,674.61, 561,211.01 and 225,398.24 is: 311,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,674.61 : 561,211.01 = 225,398.24 : x
  2. Step 2: Convert to fraction form
    406,674.61/561,211.01 = 225,398.24/x
  3. Step 3: Cross multiply
    406,674.61x = 561,211.01 × 225,398.24
  4. Step 4: Simplify right side
    406,674.61x = 126,495,973,922.62
  5. Step 5: Solve for x
    x = 126,495,973,922.62/406,674.61
  6. Step 6: Final answer
    x = 311,049.60

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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.