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Finding the Fourth Proportional to 410,851.20, 616,276.80 and 189,667.20

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Solution

The fourth proportional to 410,851.20, 616,276.80 and 189,667.20 is: 284,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,851.20 : 616,276.80 = 189,667.20 : x
  2. Step 2: Convert to fraction form
    410,851.20/616,276.80 = 189,667.20/x
  3. Step 3: Cross multiply
    410,851.20x = 616,276.80 × 189,667.20
  4. Step 4: Simplify right side
    410,851.20x = 116,887,495,080.96
  5. Step 5: Solve for x
    x = 116,887,495,080.96/410,851.20
  6. Step 6: Final answer
    x = 284,500.80

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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.