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Finding the Fourth Proportional to 409,897.74, 614,665.89 and 185,249.10

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Solution

The fourth proportional to 409,897.74, 614,665.89 and 185,249.10 is: 277,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,897.74 : 614,665.89 = 185,249.10 : x
  2. Step 2: Convert to fraction form
    409,897.74/614,665.89 = 185,249.10/x
  3. Step 3: Cross multiply
    409,897.74x = 614,665.89 × 185,249.10
  4. Step 4: Simplify right side
    409,897.74x = 113,866,302,923.20
  5. Step 5: Solve for x
    x = 113,866,302,923.20/409,897.74
  6. Step 6: Final answer
    x = 277,791.98

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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.