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Finding the Fourth Proportional to 447,053.46, 670,514.58 and 147,543.81

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Solution

The fourth proportional to 447,053.46, 670,514.58 and 147,543.81 is: 221,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,053.46 : 670,514.58 = 147,543.81 : x
  2. Step 2: Convert to fraction form
    447,053.46/670,514.58 = 147,543.81/x
  3. Step 3: Cross multiply
    447,053.46x = 670,514.58 × 147,543.81
  4. Step 4: Simplify right side
    447,053.46x = 98,930,275,793.75
  5. Step 5: Solve for x
    x = 98,930,275,793.75/447,053.46
  6. Step 6: Final answer
    x = 221,294.06

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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.