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Finding the Fourth Proportional to 442,438, 663,659.43 and 110,014

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Solution

The fourth proportional to 442,438, 663,659.43 and 110,014 is: 165,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,438 : 663,659.43 = 110,014 : x
  2. Step 2: Convert to fraction form
    442,438/663,659.43 = 110,014/x
  3. Step 3: Cross multiply
    442,438x = 663,659.43 × 110,014
  4. Step 4: Simplify right side
    442,438x = 73,011,828,532.02
  5. Step 5: Solve for x
    x = 73,011,828,532.02/442,438
  6. Step 6: Final answer
    x = 165,021.60

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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.