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Finding the Fourth Proportional to 411,179.60, 616,769.40 and 144,851.60

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Solution

The fourth proportional to 411,179.60, 616,769.40 and 144,851.60 is: 217,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,179.60 : 616,769.40 = 144,851.60 : x
  2. Step 2: Convert to fraction form
    411,179.60/616,769.40 = 144,851.60/x
  3. Step 3: Cross multiply
    411,179.60x = 616,769.40 × 144,851.60
  4. Step 4: Simplify right side
    411,179.60x = 89,340,034,421.04
  5. Step 5: Solve for x
    x = 89,340,034,421.04/411,179.60
  6. Step 6: Final answer
    x = 217,277.40

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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.