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Finding the Fourth Proportional to 348,193.14, 477,377.22 and 341,894.58

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Solution

The fourth proportional to 348,193.14, 477,377.22 and 341,894.58 is: 468,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,193.14 : 477,377.22 = 341,894.58 : x
  2. Step 2: Convert to fraction form
    348,193.14/477,377.22 = 341,894.58/x
  3. Step 3: Cross multiply
    348,193.14x = 477,377.22 × 341,894.58
  4. Step 4: Simplify right side
    348,193.14x = 163,212,684,133.47
  5. Step 5: Solve for x
    x = 163,212,684,133.47/348,193.14
  6. Step 6: Final answer
    x = 468,741.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.