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Finding the Fourth Proportional to 686,327.26, 946,904.43 and 414,292

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Solution

The fourth proportional to 686,327.26, 946,904.43 and 414,292 is: 571,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,327.26 : 946,904.43 = 414,292 : x
  2. Step 2: Convert to fraction form
    686,327.26/946,904.43 = 414,292/x
  3. Step 3: Cross multiply
    686,327.26x = 946,904.43 × 414,292
  4. Step 4: Simplify right side
    686,327.26x = 392,294,930,113.56
  5. Step 5: Solve for x
    x = 392,294,930,113.56/686,327.26
  6. Step 6: Final answer
    x = 571,585.82

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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.