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Finding the Fourth Proportional to 523,278.68, 722,132.15 and 293,885.61

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Solution

The fourth proportional to 523,278.68, 722,132.15 and 293,885.61 is: 405,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,278.68 : 722,132.15 = 293,885.61 : x
  2. Step 2: Convert to fraction form
    523,278.68/722,132.15 = 293,885.61/x
  3. Step 3: Cross multiply
    523,278.68x = 722,132.15 × 293,885.61
  4. Step 4: Simplify right side
    523,278.68x = 212,224,245,933.93
  5. Step 5: Solve for x
    x = 212,224,245,933.93/523,278.68
  6. Step 6: Final answer
    x = 405,566.40

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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.