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Finding the Fourth Proportional to 497,903.40, 746,768.70 and 182,197.80

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Solution

The fourth proportional to 497,903.40, 746,768.70 and 182,197.80 is: 273,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,903.40 : 746,768.70 = 182,197.80 : x
  2. Step 2: Convert to fraction form
    497,903.40/746,768.70 = 182,197.80/x
  3. Step 3: Cross multiply
    497,903.40x = 746,768.70 × 182,197.80
  4. Step 4: Simplify right side
    497,903.40x = 136,059,614,248.86
  5. Step 5: Solve for x
    x = 136,059,614,248.86/497,903.40
  6. Step 6: Final answer
    x = 273,265.08

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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.