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Finding the Fourth Proportional to 409,206.52, 564,733.38 and 248,068.36

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Solution

The fourth proportional to 409,206.52, 564,733.38 and 248,068.36 is: 342,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,206.52 : 564,733.38 = 248,068.36 : x
  2. Step 2: Convert to fraction form
    409,206.52/564,733.38 = 248,068.36/x
  3. Step 3: Cross multiply
    409,206.52x = 564,733.38 × 248,068.36
  4. Step 4: Simplify right side
    409,206.52x = 140,092,483,413.86
  5. Step 5: Solve for x
    x = 140,092,483,413.86/409,206.52
  6. Step 6: Final answer
    x = 342,351.54

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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.