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Finding the Fourth Proportional to 477,696.17, 658,946.93 and 298,537.13

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Solution

The fourth proportional to 477,696.17, 658,946.93 and 298,537.13 is: 411,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,696.17 : 658,946.93 = 298,537.13 : x
  2. Step 2: Convert to fraction form
    477,696.17/658,946.93 = 298,537.13/x
  3. Step 3: Cross multiply
    477,696.17x = 658,946.93 × 298,537.13
  4. Step 4: Simplify right side
    477,696.17x = 196,720,120,517.09
  5. Step 5: Solve for x
    x = 196,720,120,517.09/477,696.17
  6. Step 6: Final answer
    x = 411,810.13

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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.