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Finding the Fourth Proportional to 497,328.60, 746,090.10 and 197,758.20

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Solution

The fourth proportional to 497,328.60, 746,090.10 and 197,758.20 is: 296,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,328.60 : 746,090.10 = 197,758.20 : x
  2. Step 2: Convert to fraction form
    497,328.60/746,090.10 = 197,758.20/x
  3. Step 3: Cross multiply
    497,328.60x = 746,090.10 × 197,758.20
  4. Step 4: Simplify right side
    497,328.60x = 147,545,435,213.82
  5. Step 5: Solve for x
    x = 147,545,435,213.82/497,328.60
  6. Step 6: Final answer
    x = 296,675.95

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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.