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Finding the Fourth Proportional to 371,816, 513,092.04 and 202,046.48

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Solution

The fourth proportional to 371,816, 513,092.04 and 202,046.48 is: 278,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,816 : 513,092.04 = 202,046.48 : x
  2. Step 2: Convert to fraction form
    371,816/513,092.04 = 202,046.48/x
  3. Step 3: Cross multiply
    371,816x = 513,092.04 × 202,046.48
  4. Step 4: Simplify right side
    371,816x = 103,668,440,598.02
  5. Step 5: Solve for x
    x = 103,668,440,598.02/371,816
  6. Step 6: Final answer
    x = 278,816.51

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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.