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Finding the Fourth Proportional to 820,279.71, 1,131,988.77 and 457,696.98

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Solution

The fourth proportional to 820,279.71, 1,131,988.77 and 457,696.98 is: 631,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,279.71 : 1,131,988.77 = 457,696.98 : x
  2. Step 2: Convert to fraction form
    820,279.71/1,131,988.77 = 457,696.98/x
  3. Step 3: Cross multiply
    820,279.71x = 1,131,988.77 × 457,696.98
  4. Step 4: Simplify right side
    820,279.71x = 518,107,841,422.92
  5. Step 5: Solve for x
    x = 518,107,841,422.92/820,279.71
  6. Step 6: Final answer
    x = 631,623.38

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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.