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Finding the Fourth Proportional to 269,269.20, 403,903.80 and 185,288.40

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Solution

The fourth proportional to 269,269.20, 403,903.80 and 185,288.40 is: 277,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,269.20 : 403,903.80 = 185,288.40 : x
  2. Step 2: Convert to fraction form
    269,269.20/403,903.80 = 185,288.40/x
  3. Step 3: Cross multiply
    269,269.20x = 403,903.80 × 185,288.40
  4. Step 4: Simplify right side
    269,269.20x = 74,838,688,855.92
  5. Step 5: Solve for x
    x = 74,838,688,855.92/269,269.20
  6. Step 6: Final answer
    x = 277,932.60

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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.