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Finding the Fourth Proportional to 409,570.56, 565,209.99 and 228,293.97

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Solution

The fourth proportional to 409,570.56, 565,209.99 and 228,293.97 is: 315,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,570.56 : 565,209.99 = 228,293.97 : x
  2. Step 2: Convert to fraction form
    409,570.56/565,209.99 = 228,293.97/x
  3. Step 3: Cross multiply
    409,570.56x = 565,209.99 × 228,293.97
  4. Step 4: Simplify right side
    409,570.56x = 129,034,032,500.76
  5. Step 5: Solve for x
    x = 129,034,032,500.76/409,570.56
  6. Step 6: Final answer
    x = 315,047.14

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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.