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Finding the Fourth Proportional to 461,208, 691,914.24 and 141,404.16

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Solution

The fourth proportional to 461,208, 691,914.24 and 141,404.16 is: 212,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,208 : 691,914.24 = 141,404.16 : x
  2. Step 2: Convert to fraction form
    461,208/691,914.24 = 141,404.16/x
  3. Step 3: Cross multiply
    461,208x = 691,914.24 × 141,404.16
  4. Step 4: Simplify right side
    461,208x = 97,839,551,899.24
  5. Step 5: Solve for x
    x = 97,839,551,899.24/461,208
  6. Step 6: Final answer
    x = 212,137.59

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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.