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Finding the Fourth Proportional to 497,696.40, 686,791.44 and 282,806.64

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Solution

The fourth proportional to 497,696.40, 686,791.44 and 282,806.64 is: 390,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,696.40 : 686,791.44 = 282,806.64 : x
  2. Step 2: Convert to fraction form
    497,696.40/686,791.44 = 282,806.64/x
  3. Step 3: Cross multiply
    497,696.40x = 686,791.44 × 282,806.64
  4. Step 4: Simplify right side
    497,696.40x = 194,229,179,527.16
  5. Step 5: Solve for x
    x = 194,229,179,527.16/497,696.40
  6. Step 6: Final answer
    x = 390,256.35

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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.