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Finding the Fourth Proportional to 275,712.30, 413,617.05 and 98,322.30

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Solution

The fourth proportional to 275,712.30, 413,617.05 and 98,322.30 is: 147,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,712.30 : 413,617.05 = 98,322.30 : x
  2. Step 2: Convert to fraction form
    275,712.30/413,617.05 = 98,322.30/x
  3. Step 3: Cross multiply
    275,712.30x = 413,617.05 × 98,322.30
  4. Step 4: Simplify right side
    275,712.30x = 40,667,779,675.22
  5. Step 5: Solve for x
    x = 40,667,779,675.22/275,712.30
  6. Step 6: Final answer
    x = 147,500.78

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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.