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Finding the Fourth Proportional to 442,438.24, 663,663.60 and 110,014.24

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Solution

The fourth proportional to 442,438.24, 663,663.60 and 110,014.24 is: 165,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,438.24 : 663,663.60 = 110,014.24 : x
  2. Step 2: Convert to fraction form
    442,438.24/663,663.60 = 110,014.24/x
  3. Step 3: Cross multiply
    442,438.24x = 663,663.60 × 110,014.24
  4. Step 4: Simplify right side
    442,438.24x = 73,012,446,569.66
  5. Step 5: Solve for x
    x = 73,012,446,569.66/442,438.24
  6. Step 6: Final answer
    x = 165,022.91

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1.5x scale

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.