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Finding the Fourth Proportional to 296,272.50, 444,408.75 and 74,656.50

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Solution

The fourth proportional to 296,272.50, 444,408.75 and 74,656.50 is: 111,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,272.50 : 444,408.75 = 74,656.50 : x
  2. Step 2: Convert to fraction form
    296,272.50/444,408.75 = 74,656.50/x
  3. Step 3: Cross multiply
    296,272.50x = 444,408.75 × 74,656.50
  4. Step 4: Simplify right side
    296,272.50x = 33,178,001,844.38
  5. Step 5: Solve for x
    x = 33,178,001,844.38/296,272.50
  6. Step 6: Final answer
    x = 111,984.75

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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.