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Finding the Fourth Proportional to 406,840.64, 561,439.15 and 225,547.90

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Solution

The fourth proportional to 406,840.64, 561,439.15 and 225,547.90 is: 311,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,840.64 : 561,439.15 = 225,547.90 : x
  2. Step 2: Convert to fraction form
    406,840.64/561,439.15 = 225,547.90/x
  3. Step 3: Cross multiply
    406,840.64x = 561,439.15 × 225,547.90
  4. Step 4: Simplify right side
    406,840.64x = 126,631,419,292.82
  5. Step 5: Solve for x
    x = 126,631,419,292.82/406,840.64
  6. Step 6: Final answer
    x = 311,255.58

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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.