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Finding the Fourth Proportional to 377,934, 521,511.06 and 232,716.50

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Solution

The fourth proportional to 377,934, 521,511.06 and 232,716.50 is: 321,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,934 : 521,511.06 = 232,716.50 : x
  2. Step 2: Convert to fraction form
    377,934/521,511.06 = 232,716.50/x
  3. Step 3: Cross multiply
    377,934x = 521,511.06 × 232,716.50
  4. Step 4: Simplify right side
    377,934x = 121,364,228,594.49
  5. Step 5: Solve for x
    x = 121,364,228,594.49/377,934
  6. Step 6: Final answer
    x = 321,125.46

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