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Finding the Fourth Proportional to 447,934.96, 671,996.94 and 148,398.40

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Solution

The fourth proportional to 447,934.96, 671,996.94 and 148,398.40 is: 222,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,934.96 : 671,996.94 = 148,398.40 : x
  2. Step 2: Convert to fraction form
    447,934.96/671,996.94 = 148,398.40/x
  3. Step 3: Cross multiply
    447,934.96x = 671,996.94 × 148,398.40
  4. Step 4: Simplify right side
    447,934.96x = 99,723,270,700.90
  5. Step 5: Solve for x
    x = 99,723,270,700.90/447,934.96
  6. Step 6: Final answer
    x = 222,628.91

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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.