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Finding the Fourth Proportional to 402,274.88, 603,661.47 and 233,874.45

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Solution

The fourth proportional to 402,274.88, 603,661.47 and 233,874.45 is: 350,956.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,274.88 : 603,661.47 = 233,874.45 : x
  2. Step 2: Convert to fraction form
    402,274.88/603,661.47 = 233,874.45/x
  3. Step 3: Cross multiply
    402,274.88x = 603,661.47 × 233,874.45
  4. Step 4: Simplify right side
    402,274.88x = 141,180,994,282.44
  5. Step 5: Solve for x
    x = 141,180,994,282.44/402,274.88
  6. Step 6: Final answer
    x = 350,956.53

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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.