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Finding the Fourth Proportional to 398,531.13, 596,953.62 and 322,302.57

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Solution

The fourth proportional to 398,531.13, 596,953.62 and 322,302.57 is: 482,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,531.13 : 596,953.62 = 322,302.57 : x
  2. Step 2: Convert to fraction form
    398,531.13/596,953.62 = 322,302.57/x
  3. Step 3: Cross multiply
    398,531.13x = 596,953.62 × 322,302.57
  4. Step 4: Simplify right side
    398,531.13x = 192,399,685,896.80
  5. Step 5: Solve for x
    x = 192,399,685,896.80/398,531.13
  6. Step 6: Final answer
    x = 482,772.04

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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.