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Finding the Fourth Proportional to 360,314.72, 497,234.40 and 196,971.92

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Solution

The fourth proportional to 360,314.72, 497,234.40 and 196,971.92 is: 271,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,314.72 : 497,234.40 = 196,971.92 : x
  2. Step 2: Convert to fraction form
    360,314.72/497,234.40 = 196,971.92/x
  3. Step 3: Cross multiply
    360,314.72x = 497,234.40 × 196,971.92
  4. Step 4: Simplify right side
    360,314.72x = 97,941,214,458.05
  5. Step 5: Solve for x
    x = 97,941,214,458.05/360,314.72
  6. Step 6: Final answer
    x = 271,821.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.