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Finding the Fourth Proportional to 601,877.53, 830,650.41 and 343,793.07

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Solution

The fourth proportional to 601,877.53, 830,650.41 and 343,793.07 is: 474,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,877.53 : 830,650.41 = 343,793.07 : x
  2. Step 2: Convert to fraction form
    601,877.53/830,650.41 = 343,793.07/x
  3. Step 3: Cross multiply
    601,877.53x = 830,650.41 × 343,793.07
  4. Step 4: Simplify right side
    601,877.53x = 285,571,854,550.66
  5. Step 5: Solve for x
    x = 285,571,854,550.66/601,877.53
  6. Step 6: Final answer
    x = 474,468.38

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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.