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Finding the Fourth Proportional to 400,798.37, 601,103.19 and 187,712.75

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Solution

The fourth proportional to 400,798.37, 601,103.19 and 187,712.75 is: 281,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,798.37 : 601,103.19 = 187,712.75 : x
  2. Step 2: Convert to fraction form
    400,798.37/601,103.19 = 187,712.75/x
  3. Step 3: Cross multiply
    400,798.37x = 601,103.19 × 187,712.75
  4. Step 4: Simplify right side
    400,798.37x = 112,834,732,828.67
  5. Step 5: Solve for x
    x = 112,834,732,828.67/400,798.37
  6. Step 6: Final answer
    x = 281,524.93

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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.