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Finding the Fourth Proportional to 461,759, 692,134.14 and 293,354.60

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Solution

The fourth proportional to 461,759, 692,134.14 and 293,354.60 is: 439,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,759 : 692,134.14 = 293,354.60 : x
  2. Step 2: Convert to fraction form
    461,759/692,134.14 = 293,354.60/x
  3. Step 3: Cross multiply
    461,759x = 692,134.14 × 293,354.60
  4. Step 4: Simplify right side
    461,759x = 203,040,733,786.04
  5. Step 5: Solve for x
    x = 203,040,733,786.04/461,759
  6. Step 6: Final answer
    x = 439,711.48

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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.