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Finding the Fourth Proportional to 692,863.74, 955,943.01 and 402,419.30

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Solution

The fourth proportional to 692,863.74, 955,943.01 and 402,419.30 is: 555,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,863.74 : 955,943.01 = 402,419.30 : x
  2. Step 2: Convert to fraction form
    692,863.74/955,943.01 = 402,419.30/x
  3. Step 3: Cross multiply
    692,863.74x = 955,943.01 × 402,419.30
  4. Step 4: Simplify right side
    692,863.74x = 384,689,912,144.38
  5. Step 5: Solve for x
    x = 384,689,912,144.38/692,863.74
  6. Step 6: Final answer
    x = 555,217.27

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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.