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Finding the Fourth Proportional to 497,740.40, 746,610.60 and 182,207.60

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Solution

The fourth proportional to 497,740.40, 746,610.60 and 182,207.60 is: 273,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,740.40 : 746,610.60 = 182,207.60 : x
  2. Step 2: Convert to fraction form
    497,740.40/746,610.60 = 182,207.60/x
  3. Step 3: Cross multiply
    497,740.40x = 746,610.60 × 182,207.60
  4. Step 4: Simplify right side
    497,740.40x = 136,038,125,560.56
  5. Step 5: Solve for x
    x = 136,038,125,560.56/497,740.40
  6. Step 6: Final answer
    x = 273,311.40

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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.