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Finding the Fourth Proportional to 417,316.89, 625,974.33 and 274,126.55

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Solution

The fourth proportional to 417,316.89, 625,974.33 and 274,126.55 is: 411,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,316.89 : 625,974.33 = 274,126.55 : x
  2. Step 2: Convert to fraction form
    417,316.89/625,974.33 = 274,126.55/x
  3. Step 3: Cross multiply
    417,316.89x = 625,974.33 × 274,126.55
  4. Step 4: Simplify right side
    417,316.89x = 171,596,186,064.37
  5. Step 5: Solve for x
    x = 171,596,186,064.37/417,316.89
  6. Step 6: Final answer
    x = 411,189.17

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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.