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Finding the Fourth Proportional to 523,284.18, 722,139.72 and 293,891.10

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Solution

The fourth proportional to 523,284.18, 722,139.72 and 293,891.10 is: 405,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,284.18 : 722,139.72 = 293,891.10 : x
  2. Step 2: Convert to fraction form
    523,284.18/722,139.72 = 293,891.10/x
  3. Step 3: Cross multiply
    523,284.18x = 722,139.72 × 293,891.10
  4. Step 4: Simplify right side
    523,284.18x = 212,230,436,664.49
  5. Step 5: Solve for x
    x = 212,230,436,664.49/523,284.18
  6. Step 6: Final answer
    x = 405,573.96

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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.