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Finding the Fourth Proportional to 497,165.40, 745,748.10 and 273,216.60

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Solution

The fourth proportional to 497,165.40, 745,748.10 and 273,216.60 is: 409,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,165.40 : 745,748.10 = 273,216.60 : x
  2. Step 2: Convert to fraction form
    497,165.40/745,748.10 = 273,216.60/x
  3. Step 3: Cross multiply
    497,165.40x = 745,748.10 × 273,216.60
  4. Step 4: Simplify right side
    497,165.40x = 203,750,760,338.46
  5. Step 5: Solve for x
    x = 203,750,760,338.46/497,165.40
  6. Step 6: Final answer
    x = 409,824.90

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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.