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Finding the Fourth Proportional to 497,883.01, 686,960.45 and 283,006.16

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Solution

The fourth proportional to 497,883.01, 686,960.45 and 283,006.16 is: 390,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,883.01 : 686,960.45 = 283,006.16 : x
  2. Step 2: Convert to fraction form
    497,883.01/686,960.45 = 283,006.16/x
  3. Step 3: Cross multiply
    497,883.01x = 686,960.45 × 283,006.16
  4. Step 4: Simplify right side
    497,883.01x = 194,414,039,026.37
  5. Step 5: Solve for x
    x = 194,414,039,026.37/497,883.01
  6. Step 6: Final answer
    x = 390,481.37

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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.