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Finding the Fourth Proportional to 482,886.50, 723,382.79 and 280,056.50

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Solution

The fourth proportional to 482,886.50, 723,382.79 and 280,056.50 is: 419,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,886.50 : 723,382.79 = 280,056.50 : x
  2. Step 2: Convert to fraction form
    482,886.50/723,382.79 = 280,056.50/x
  3. Step 3: Cross multiply
    482,886.50x = 723,382.79 × 280,056.50
  4. Step 4: Simplify right side
    482,886.50x = 202,588,054,092.15
  5. Step 5: Solve for x
    x = 202,588,054,092.15/482,886.50
  6. Step 6: Final answer
    x = 419,535.55

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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.