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Finding the Fourth Proportional to 442,050.70, 663,005.65 and 146,562.70

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Solution

The fourth proportional to 442,050.70, 663,005.65 and 146,562.70 is: 219,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,050.70 : 663,005.65 = 146,562.70 : x
  2. Step 2: Convert to fraction form
    442,050.70/663,005.65 = 146,562.70/x
  3. Step 3: Cross multiply
    442,050.70x = 663,005.65 × 146,562.70
  4. Step 4: Simplify right side
    442,050.70x = 97,171,898,179.26
  5. Step 5: Solve for x
    x = 97,171,898,179.26/442,050.70
  6. Step 6: Final answer
    x = 219,820.71

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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.