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Finding the Fourth Proportional to 543,177.40, 814,762.05 and 164,097.40

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Solution

The fourth proportional to 543,177.40, 814,762.05 and 164,097.40 is: 246,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,177.40 : 814,762.05 = 164,097.40 : x
  2. Step 2: Convert to fraction form
    543,177.40/814,762.05 = 164,097.40/x
  3. Step 3: Cross multiply
    543,177.40x = 814,762.05 × 164,097.40
  4. Step 4: Simplify right side
    543,177.40x = 133,700,334,023.67
  5. Step 5: Solve for x
    x = 133,700,334,023.67/543,177.40
  6. Step 6: Final answer
    x = 246,144.88

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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.