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Finding the Fourth Proportional to 360,053.96, 496,864.86 and 198,882.98

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Solution

The fourth proportional to 360,053.96, 496,864.86 and 198,882.98 is: 274,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,053.96 : 496,864.86 = 198,882.98 : x
  2. Step 2: Convert to fraction form
    360,053.96/496,864.86 = 198,882.98/x
  3. Step 3: Cross multiply
    360,053.96x = 496,864.86 × 198,882.98
  4. Step 4: Simplify right side
    360,053.96x = 98,817,964,014.08
  5. Step 5: Solve for x
    x = 98,817,964,014.08/360,053.96
  6. Step 6: Final answer
    x = 274,453.21

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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.