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Finding the Fourth Proportional to 273,875.80, 410,813.70 and 185,229.40

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Solution

The fourth proportional to 273,875.80, 410,813.70 and 185,229.40 is: 277,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,875.80 : 410,813.70 = 185,229.40 : x
  2. Step 2: Convert to fraction form
    273,875.80/410,813.70 = 185,229.40/x
  3. Step 3: Cross multiply
    273,875.80x = 410,813.70 × 185,229.40
  4. Step 4: Simplify right side
    273,875.80x = 76,094,775,162.78
  5. Step 5: Solve for x
    x = 76,094,775,162.78/273,875.80
  6. Step 6: Final answer
    x = 277,844.10

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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.