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Finding the Fourth Proportional to 458,537.40, 687,806.10 and 427,433.40

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Solution

The fourth proportional to 458,537.40, 687,806.10 and 427,433.40 is: 641,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,537.40 : 687,806.10 = 427,433.40 : x
  2. Step 2: Convert to fraction form
    458,537.40/687,806.10 = 427,433.40/x
  3. Step 3: Cross multiply
    458,537.40x = 687,806.10 × 427,433.40
  4. Step 4: Simplify right side
    458,537.40x = 293,991,299,863.74
  5. Step 5: Solve for x
    x = 293,991,299,863.74/458,537.40
  6. Step 6: Final answer
    x = 641,150.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.