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Finding the Fourth Proportional to 633,093.84, 873,664.08 and 342,704

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Solution

The fourth proportional to 633,093.84, 873,664.08 and 342,704 is: 472,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,093.84 : 873,664.08 = 342,704 : x
  2. Step 2: Convert to fraction form
    633,093.84/873,664.08 = 342,704/x
  3. Step 3: Cross multiply
    633,093.84x = 873,664.08 × 342,704
  4. Step 4: Simplify right side
    633,093.84x = 299,408,174,872.32
  5. Step 5: Solve for x
    x = 299,408,174,872.32/633,093.84
  6. Step 6: Final answer
    x = 472,928.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.