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Finding the Fourth Proportional to 349,218.88, 523,831.62 and 191,361.16

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Solution

The fourth proportional to 349,218.88, 523,831.62 and 191,361.16 is: 287,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,218.88 : 523,831.62 = 191,361.16 : x
  2. Step 2: Convert to fraction form
    349,218.88/523,831.62 = 191,361.16/x
  3. Step 3: Cross multiply
    349,218.88x = 523,831.62 × 191,361.16
  4. Step 4: Simplify right side
    349,218.88x = 100,241,026,447.88
  5. Step 5: Solve for x
    x = 100,241,026,447.88/349,218.88
  6. Step 6: Final answer
    x = 287,043.55

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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.