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Finding the Fourth Proportional to 497,710.40, 746,565.60 and 182,177.60

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Solution

The fourth proportional to 497,710.40, 746,565.60 and 182,177.60 is: 273,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,710.40 : 746,565.60 = 182,177.60 : x
  2. Step 2: Convert to fraction form
    497,710.40/746,565.60 = 182,177.60/x
  3. Step 3: Cross multiply
    497,710.40x = 746,565.60 × 182,177.60
  4. Step 4: Simplify right side
    497,710.40x = 136,007,529,250.56
  5. Step 5: Solve for x
    x = 136,007,529,250.56/497,710.40
  6. Step 6: Final answer
    x = 273,266.40

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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.