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Finding the Fourth Proportional to 410,725.80, 616,002.30 and 174,076.20

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Solution

The fourth proportional to 410,725.80, 616,002.30 and 174,076.20 is: 261,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,725.80 : 616,002.30 = 174,076.20 : x
  2. Step 2: Convert to fraction form
    410,725.80/616,002.30 = 174,076.20/x
  3. Step 3: Cross multiply
    410,725.80x = 616,002.30 × 174,076.20
  4. Step 4: Simplify right side
    410,725.80x = 107,231,339,575.26
  5. Step 5: Solve for x
    x = 107,231,339,575.26/410,725.80
  6. Step 6: Final answer
    x = 261,077.68

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1.5x scale

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.