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Finding the Fourth Proportional to 299,253, 448,878.96 and 174,506.52

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Solution

The fourth proportional to 299,253, 448,878.96 and 174,506.52 is: 261,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,253 : 448,878.96 = 174,506.52 : x
  2. Step 2: Convert to fraction form
    299,253/448,878.96 = 174,506.52/x
  3. Step 3: Cross multiply
    299,253x = 448,878.96 × 174,506.52
  4. Step 4: Simplify right side
    299,253x = 78,332,305,210.82
  5. Step 5: Solve for x
    x = 78,332,305,210.82/299,253
  6. Step 6: Final answer
    x = 261,759.47

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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.