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Finding the Fourth Proportional to 523,346.17, 722,235.15 and 293,943.82

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Solution

The fourth proportional to 523,346.17, 722,235.15 and 293,943.82 is: 405,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,346.17 : 722,235.15 = 293,943.82 : x
  2. Step 2: Convert to fraction form
    523,346.17/722,235.15 = 293,943.82/x
  3. Step 3: Cross multiply
    523,346.17x = 722,235.15 × 293,943.82
  4. Step 4: Simplify right side
    523,346.17x = 212,296,558,929.27
  5. Step 5: Solve for x
    x = 212,296,558,929.27/523,346.17
  6. Step 6: Final answer
    x = 405,652.26

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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.