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Finding the Fourth Proportional to 613,052.94, 846,013.07 and 341,138.36

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Solution

The fourth proportional to 613,052.94, 846,013.07 and 341,138.36 is: 470,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,052.94 : 846,013.07 = 341,138.36 : x
  2. Step 2: Convert to fraction form
    613,052.94/846,013.07 = 341,138.36/x
  3. Step 3: Cross multiply
    613,052.94x = 846,013.07 × 341,138.36
  4. Step 4: Simplify right side
    613,052.94x = 288,607,505,302.61
  5. Step 5: Solve for x
    x = 288,607,505,302.61/613,052.94
  6. Step 6: Final answer
    x = 470,770.93

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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.