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Finding the Fourth Proportional to 523,822.78, 722,185.97 and 342,219.16

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Solution

The fourth proportional to 523,822.78, 722,185.97 and 342,219.16 is: 471,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,822.78 : 722,185.97 = 342,219.16 : x
  2. Step 2: Convert to fraction form
    523,822.78/722,185.97 = 342,219.16/x
  3. Step 3: Cross multiply
    523,822.78x = 722,185.97 × 342,219.16
  4. Step 4: Simplify right side
    523,822.78x = 247,145,872,406.26
  5. Step 5: Solve for x
    x = 247,145,872,406.26/523,822.78
  6. Step 6: Final answer
    x = 471,812.00

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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.