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Finding the Fourth Proportional to 685,691.13, 946,256.46 and 399,407.97

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Solution

The fourth proportional to 685,691.13, 946,256.46 and 399,407.97 is: 551,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,691.13 : 946,256.46 = 399,407.97 : x
  2. Step 2: Convert to fraction form
    685,691.13/946,256.46 = 399,407.97/x
  3. Step 3: Cross multiply
    685,691.13x = 946,256.46 × 399,407.97
  4. Step 4: Simplify right side
    685,691.13x = 377,942,371,787.99
  5. Step 5: Solve for x
    x = 377,942,371,787.99/685,691.13
  6. Step 6: Final answer
    x = 551,184.57

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1.5x scale

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.