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Finding the Fourth Proportional to 406,901, 561,530.14 and 225,620.58

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Solution

The fourth proportional to 406,901, 561,530.14 and 225,620.58 is: 311,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,901 : 561,530.14 = 225,620.58 : x
  2. Step 2: Convert to fraction form
    406,901/561,530.14 = 225,620.58/x
  3. Step 3: Cross multiply
    406,901x = 561,530.14 × 225,620.58
  4. Step 4: Simplify right side
    406,901x = 126,692,755,874.28
  5. Step 5: Solve for x
    x = 126,692,755,874.28/406,901
  6. Step 6: Final answer
    x = 311,360.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.