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Finding the Fourth Proportional to 411,255.30, 616,680.56 and 144,977.10

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Solution

The fourth proportional to 411,255.30, 616,680.56 and 144,977.10 is: 217,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,255.30 : 616,680.56 = 144,977.10 : x
  2. Step 2: Convert to fraction form
    411,255.30/616,680.56 = 144,977.10/x
  3. Step 3: Cross multiply
    411,255.30x = 616,680.56 × 144,977.10
  4. Step 4: Simplify right side
    411,255.30x = 89,404,559,215.18
  5. Step 5: Solve for x
    x = 89,404,559,215.18/411,255.30
  6. Step 6: Final answer
    x = 217,394.30

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Why These Related Problems?

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