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Finding the Fourth Proportional to 411,641.28, 568,091.52 and 230,369.76

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Solution

The fourth proportional to 411,641.28, 568,091.52 and 230,369.76 is: 317,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,641.28 : 568,091.52 = 230,369.76 : x
  2. Step 2: Convert to fraction form
    411,641.28/568,091.52 = 230,369.76/x
  3. Step 3: Cross multiply
    411,641.28x = 568,091.52 × 230,369.76
  4. Step 4: Simplify right side
    411,641.28x = 130,871,107,120.44
  5. Step 5: Solve for x
    x = 130,871,107,120.44/411,641.28
  6. Step 6: Final answer
    x = 317,925.13

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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.