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Finding the Fourth Proportional to 523,365.76, 722,242.68 and 293,891.12

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Solution

The fourth proportional to 523,365.76, 722,242.68 and 293,891.12 is: 405,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,365.76 : 722,242.68 = 293,891.12 : x
  2. Step 2: Convert to fraction form
    523,365.76/722,242.68 = 293,891.12/x
  3. Step 3: Cross multiply
    523,365.76x = 722,242.68 × 293,891.12
  4. Step 4: Simplify right side
    523,365.76x = 212,260,710,137.00
  5. Step 5: Solve for x
    x = 212,260,710,137.00/523,365.76
  6. Step 6: Final answer
    x = 405,568.58

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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.