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Finding the Fourth Proportional to 496,592.88, 684,657.72 and 360,823.92

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Solution

The fourth proportional to 496,592.88, 684,657.72 and 360,823.92 is: 497,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,592.88 : 684,657.72 = 360,823.92 : x
  2. Step 2: Convert to fraction form
    496,592.88/684,657.72 = 360,823.92/x
  3. Step 3: Cross multiply
    496,592.88x = 684,657.72 × 360,823.92
  4. Step 4: Simplify right side
    496,592.88x = 247,040,882,388.66
  5. Step 5: Solve for x
    x = 247,040,882,388.66/496,592.88
  6. Step 6: Final answer
    x = 497,471.66

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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.