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Finding the Fourth Proportional to 523,233.95, 722,037.56 and 293,762.97

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Solution

The fourth proportional to 523,233.95, 722,037.56 and 293,762.97 is: 405,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,233.95 : 722,037.56 = 293,762.97 : x
  2. Step 2: Convert to fraction form
    523,233.95/722,037.56 = 293,762.97/x
  3. Step 3: Cross multiply
    523,233.95x = 722,037.56 × 293,762.97
  4. Step 4: Simplify right side
    523,233.95x = 212,107,896,608.34
  5. Step 5: Solve for x
    x = 212,107,896,608.34/523,233.95
  6. Step 6: Final answer
    x = 405,378.70

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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.