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Finding the Fourth Proportional to 497,630.40, 746,445.60 and 182,119.20

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Solution

The fourth proportional to 497,630.40, 746,445.60 and 182,119.20 is: 273,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,630.40 : 746,445.60 = 182,119.20 : x
  2. Step 2: Convert to fraction form
    497,630.40/746,445.60 = 182,119.20/x
  3. Step 3: Cross multiply
    497,630.40x = 746,445.60 × 182,119.20
  4. Step 4: Simplify right side
    497,630.40x = 135,942,075,515.52
  5. Step 5: Solve for x
    x = 135,942,075,515.52/497,630.40
  6. Step 6: Final answer
    x = 273,178.80

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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.