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Finding the Fourth Proportional to 600,249.15, 828,454.64 and 385,657.47

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Solution

The fourth proportional to 600,249.15, 828,454.64 and 385,657.47 is: 532,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,249.15 : 828,454.64 = 385,657.47 : x
  2. Step 2: Convert to fraction form
    600,249.15/828,454.64 = 385,657.47/x
  3. Step 3: Cross multiply
    600,249.15x = 828,454.64 × 385,657.47
  4. Step 4: Simplify right side
    600,249.15x = 319,499,718,543.87
  5. Step 5: Solve for x
    x = 319,499,718,543.87/600,249.15
  6. Step 6: Final answer
    x = 532,278.50

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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.