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Finding the Fourth Proportional to 449,825.47, 674,925.64 and 197,287.30

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Solution

The fourth proportional to 449,825.47, 674,925.64 and 197,287.30 is: 296,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,825.47 : 674,925.64 = 197,287.30 : x
  2. Step 2: Convert to fraction form
    449,825.47/674,925.64 = 197,287.30/x
  3. Step 3: Cross multiply
    449,825.47x = 674,925.64 × 197,287.30
  4. Step 4: Simplify right side
    449,825.47x = 133,154,254,542.62
  5. Step 5: Solve for x
    x = 133,154,254,542.62/449,825.47
  6. Step 6: Final answer
    x = 296,013.15

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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.