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Finding the Fourth Proportional to 523,146.17, 721,891.84 and 293,650.90

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Solution

The fourth proportional to 523,146.17, 721,891.84 and 293,650.90 is: 405,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,146.17 : 721,891.84 = 293,650.90 : x
  2. Step 2: Convert to fraction form
    523,146.17/721,891.84 = 293,650.90/x
  3. Step 3: Cross multiply
    523,146.17x = 721,891.84 × 293,650.90
  4. Step 4: Simplify right side
    523,146.17x = 211,984,188,518.66
  5. Step 5: Solve for x
    x = 211,984,188,518.66/523,146.17
  6. Step 6: Final answer
    x = 405,210.25

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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.