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Finding the Fourth Proportional to 354,822.30, 532,391.40 and 186,301.80

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Solution

The fourth proportional to 354,822.30, 532,391.40 and 186,301.80 is: 279,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,822.30 : 532,391.40 = 186,301.80 : x
  2. Step 2: Convert to fraction form
    354,822.30/532,391.40 = 186,301.80/x
  3. Step 3: Cross multiply
    354,822.30x = 532,391.40 × 186,301.80
  4. Step 4: Simplify right side
    354,822.30x = 99,185,476,124.52
  5. Step 5: Solve for x
    x = 99,185,476,124.52/354,822.30
  6. Step 6: Final answer
    x = 279,535.63

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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.