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Finding the Fourth Proportional to 406,870.76, 561,514.74 and 225,600.68

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Solution

The fourth proportional to 406,870.76, 561,514.74 and 225,600.68 is: 311,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,870.76 : 561,514.74 = 225,600.68 : x
  2. Step 2: Convert to fraction form
    406,870.76/561,514.74 = 225,600.68/x
  3. Step 3: Cross multiply
    406,870.76x = 561,514.74 × 225,600.68
  4. Step 4: Simplify right side
    406,870.76x = 126,678,107,174.02
  5. Step 5: Solve for x
    x = 126,678,107,174.02/406,870.76
  6. Step 6: Final answer
    x = 311,347.29

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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.