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Finding the Fourth Proportional to 600,671.22, 828,928.62 and 385,813.14

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Solution

The fourth proportional to 600,671.22, 828,928.62 and 385,813.14 is: 532,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,671.22 : 828,928.62 = 385,813.14 : x
  2. Step 2: Convert to fraction form
    600,671.22/828,928.62 = 385,813.14/x
  3. Step 3: Cross multiply
    600,671.22x = 828,928.62 × 385,813.14
  4. Step 4: Simplify right side
    600,671.22x = 319,811,553,718.07
  5. Step 5: Solve for x
    x = 319,811,553,718.07/600,671.22
  6. Step 6: Final answer
    x = 532,423.63

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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.