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Finding the Fourth Proportional to 521,294.77, 782,056.77 and 296,760.34

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Solution

The fourth proportional to 521,294.77, 782,056.77 and 296,760.34 is: 445,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,294.77 : 782,056.77 = 296,760.34 : x
  2. Step 2: Convert to fraction form
    521,294.77/782,056.77 = 296,760.34/x
  3. Step 3: Cross multiply
    521,294.77x = 782,056.77 × 296,760.34
  4. Step 4: Simplify right side
    521,294.77x = 232,083,427,570.42
  5. Step 5: Solve for x
    x = 232,083,427,570.42/521,294.77
  6. Step 6: Final answer
    x = 445,205.75

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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.