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Finding the Fourth Proportional to 233,284.80, 349,408.80 and 191,812.80

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Solution

The fourth proportional to 233,284.80, 349,408.80 and 191,812.80 is: 287,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,284.80 : 349,408.80 = 191,812.80 : x
  2. Step 2: Convert to fraction form
    233,284.80/349,408.80 = 191,812.80/x
  3. Step 3: Cross multiply
    233,284.80x = 349,408.80 × 191,812.80
  4. Step 4: Simplify right side
    233,284.80x = 67,021,080,272.64
  5. Step 5: Solve for x
    x = 67,021,080,272.64/233,284.80
  6. Step 6: Final answer
    x = 287,292.96

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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.