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Finding the Fourth Proportional to 447,123.66, 670,767.57 and 147,624.54

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Solution

The fourth proportional to 447,123.66, 670,767.57 and 147,624.54 is: 221,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,123.66 : 670,767.57 = 147,624.54 : x
  2. Step 2: Convert to fraction form
    447,123.66/670,767.57 = 147,624.54/x
  3. Step 3: Cross multiply
    447,123.66x = 670,767.57 × 147,624.54
  4. Step 4: Simplify right side
    447,123.66x = 99,021,753,968.17
  5. Step 5: Solve for x
    x = 99,021,753,968.17/447,123.66
  6. Step 6: Final answer
    x = 221,463.91

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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.