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Finding the Fourth Proportional to 230,513.28, 317,929.45 and 204,698.98

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Solution

The fourth proportional to 230,513.28, 317,929.45 and 204,698.98 is: 282,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,513.28 : 317,929.45 = 204,698.98 : x
  2. Step 2: Convert to fraction form
    230,513.28/317,929.45 = 204,698.98/x
  3. Step 3: Cross multiply
    230,513.28x = 317,929.45 × 204,698.98
  4. Step 4: Simplify right side
    230,513.28x = 65,079,834,126.96
  5. Step 5: Solve for x
    x = 65,079,834,126.96/230,513.28
  6. Step 6: Final answer
    x = 282,325.75

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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.