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Finding the Fourth Proportional to 458,431.40, 687,647.10 and 261,823.40

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Solution

The fourth proportional to 458,431.40, 687,647.10 and 261,823.40 is: 392,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,431.40 : 687,647.10 = 261,823.40 : x
  2. Step 2: Convert to fraction form
    458,431.40/687,647.10 = 261,823.40/x
  3. Step 3: Cross multiply
    458,431.40x = 687,647.10 × 261,823.40
  4. Step 4: Simplify right side
    458,431.40x = 180,042,101,722.14
  5. Step 5: Solve for x
    x = 180,042,101,722.14/458,431.40
  6. Step 6: Final answer
    x = 392,735.10

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Similar ratio
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1.5x scale

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.