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Finding the Fourth Proportional to 496,283.60, 684,866.24 and 269,929.04

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Solution

The fourth proportional to 496,283.60, 684,866.24 and 269,929.04 is: 372,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,283.60 : 684,866.24 = 269,929.04 : x
  2. Step 2: Convert to fraction form
    496,283.60/684,866.24 = 269,929.04/x
  3. Step 3: Cross multiply
    496,283.60x = 684,866.24 × 269,929.04
  4. Step 4: Simplify right side
    496,283.60x = 184,865,286,691.61
  5. Step 5: Solve for x
    x = 184,865,286,691.61/496,283.60
  6. Step 6: Final answer
    x = 372,499.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.