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Finding the Fourth Proportional to 542,210.76, 812,460.68 and 200,183.86

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Solution

The fourth proportional to 542,210.76, 812,460.68 and 200,183.86 is: 299,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,210.76 : 812,460.68 = 200,183.86 : x
  2. Step 2: Convert to fraction form
    542,210.76/812,460.68 = 200,183.86/x
  3. Step 3: Cross multiply
    542,210.76x = 812,460.68 × 200,183.86
  4. Step 4: Simplify right side
    542,210.76x = 162,641,511,215.88
  5. Step 5: Solve for x
    x = 162,641,511,215.88/542,210.76
  6. Step 6: Final answer
    x = 299,959.95

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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.