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Finding the Fourth Proportional to 417,952.10, 627,149.59 and 181,460.86

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Solution

The fourth proportional to 417,952.10, 627,149.59 and 181,460.86 is: 272,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,952.10 : 627,149.59 = 181,460.86 : x
  2. Step 2: Convert to fraction form
    417,952.10/627,149.59 = 181,460.86/x
  3. Step 3: Cross multiply
    417,952.10x = 627,149.59 × 181,460.86
  4. Step 4: Simplify right side
    417,952.10x = 113,803,101,928.52
  5. Step 5: Solve for x
    x = 113,803,101,928.52/417,952.10
  6. Step 6: Final answer
    x = 272,287.43

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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.