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Finding the Fourth Proportional to 442,458.10, 663,946.35 and 162,003.70

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Solution

The fourth proportional to 442,458.10, 663,946.35 and 162,003.70 is: 243,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,458.10 : 663,946.35 = 162,003.70 : x
  2. Step 2: Convert to fraction form
    442,458.10/663,946.35 = 162,003.70/x
  3. Step 3: Cross multiply
    442,458.10x = 663,946.35 × 162,003.70
  4. Step 4: Simplify right side
    442,458.10x = 107,561,765,301.50
  5. Step 5: Solve for x
    x = 107,561,765,301.50/442,458.10
  6. Step 6: Final answer
    x = 243,100.45

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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.