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Finding the Fourth Proportional to 322,733.61, 483,657.54 and 204,192.74

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Solution

The fourth proportional to 322,733.61, 483,657.54 and 204,192.74 is: 306,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,733.61 : 483,657.54 = 204,192.74 : x
  2. Step 2: Convert to fraction form
    322,733.61/483,657.54 = 204,192.74/x
  3. Step 3: Cross multiply
    322,733.61x = 483,657.54 × 204,192.74
  4. Step 4: Simplify right side
    322,733.61x = 98,759,358,314.26
  5. Step 5: Solve for x
    x = 98,759,358,314.26/322,733.61
  6. Step 6: Final answer
    x = 306,008.90

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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.