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Finding the Fourth Proportional to 497,358.60, 745,958.70 and 164,934.60

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Solution

The fourth proportional to 497,358.60, 745,958.70 and 164,934.60 is: 247,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,358.60 : 745,958.70 = 164,934.60 : x
  2. Step 2: Convert to fraction form
    497,358.60/745,958.70 = 164,934.60/x
  3. Step 3: Cross multiply
    497,358.60x = 745,958.70 × 164,934.60
  4. Step 4: Simplify right side
    497,358.60x = 123,034,399,801.02
  5. Step 5: Solve for x
    x = 123,034,399,801.02/497,358.60
  6. Step 6: Final answer
    x = 247,375.64

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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.