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Finding the Fourth Proportional to 497,493.25, 686,559.23 and 282,669.70

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Solution

The fourth proportional to 497,493.25, 686,559.23 and 282,669.70 is: 390,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,493.25 : 686,559.23 = 282,669.70 : x
  2. Step 2: Convert to fraction form
    497,493.25/686,559.23 = 282,669.70/x
  3. Step 3: Cross multiply
    497,493.25x = 686,559.23 × 282,669.70
  4. Step 4: Simplify right side
    497,493.25x = 194,069,491,576.33
  5. Step 5: Solve for x
    x = 194,069,491,576.33/497,493.25
  6. Step 6: Final answer
    x = 390,094.72

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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.