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Finding the Fourth Proportional to 561,713.28, 841,824.72 and 245,826.24

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Solution

The fourth proportional to 561,713.28, 841,824.72 and 245,826.24 is: 368,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,713.28 : 841,824.72 = 245,826.24 : x
  2. Step 2: Convert to fraction form
    561,713.28/841,824.72 = 245,826.24/x
  3. Step 3: Cross multiply
    561,713.28x = 841,824.72 × 245,826.24
  4. Step 4: Simplify right side
    561,713.28x = 206,942,605,656.65
  5. Step 5: Solve for x
    x = 206,942,605,656.65/561,713.28
  6. Step 6: Final answer
    x = 368,413.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.