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Finding the Fourth Proportional to 409,867.92, 565,631.01 and 228,587.49

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Solution

The fourth proportional to 409,867.92, 565,631.01 and 228,587.49 is: 315,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,867.92 : 565,631.01 = 228,587.49 : x
  2. Step 2: Convert to fraction form
    409,867.92/565,631.01 = 228,587.49/x
  3. Step 3: Cross multiply
    409,867.92x = 565,631.01 × 228,587.49
  4. Step 4: Simplify right side
    409,867.92x = 129,296,172,842.07
  5. Step 5: Solve for x
    x = 129,296,172,842.07/409,867.92
  6. Step 6: Final answer
    x = 315,458.14

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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.