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Finding the Fourth Proportional to 523,279.68, 722,133.53 and 293,886.61

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Solution

The fourth proportional to 523,279.68, 722,133.53 and 293,886.61 is: 405,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,279.68 : 722,133.53 = 293,886.61 : x
  2. Step 2: Convert to fraction form
    523,279.68/722,133.53 = 293,886.61/x
  3. Step 3: Cross multiply
    523,279.68x = 722,133.53 × 293,886.61
  4. Step 4: Simplify right side
    523,279.68x = 212,225,375,099.03
  5. Step 5: Solve for x
    x = 212,225,375,099.03/523,279.68
  6. Step 6: Final answer
    x = 405,567.77

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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.