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Finding the Fourth Proportional to 371,459.24, 512,599.38 and 201,689.48

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Solution

The fourth proportional to 371,459.24, 512,599.38 and 201,689.48 is: 278,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,459.24 : 512,599.38 = 201,689.48 : x
  2. Step 2: Convert to fraction form
    371,459.24/512,599.38 = 201,689.48/x
  3. Step 3: Cross multiply
    371,459.24x = 512,599.38 × 201,689.48
  4. Step 4: Simplify right side
    371,459.24x = 103,385,902,400.52
  5. Step 5: Solve for x
    x = 103,385,902,400.52/371,459.24
  6. Step 6: Final answer
    x = 278,323.68

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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.