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Finding the Fourth Proportional to 255,542.40, 382,622.40 and 200,246.40

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Solution

The fourth proportional to 255,542.40, 382,622.40 and 200,246.40 is: 299,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,542.40 : 382,622.40 = 200,246.40 : x
  2. Step 2: Convert to fraction form
    255,542.40/382,622.40 = 200,246.40/x
  3. Step 3: Cross multiply
    255,542.40x = 382,622.40 × 200,246.40
  4. Step 4: Simplify right side
    255,542.40x = 76,618,758,159.36
  5. Step 5: Solve for x
    x = 76,618,758,159.36/255,542.40
  6. Step 6: Final answer
    x = 299,827.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.