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Finding the Fourth Proportional to 307,928.90, 461,716.98 and 94,641.32

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Solution

The fourth proportional to 307,928.90, 461,716.98 and 94,641.32 is: 141,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,928.90 : 461,716.98 = 94,641.32 : x
  2. Step 2: Convert to fraction form
    307,928.90/461,716.98 = 94,641.32/x
  3. Step 3: Cross multiply
    307,928.90x = 461,716.98 × 94,641.32
  4. Step 4: Simplify right side
    307,928.90x = 43,697,504,453.61
  5. Step 5: Solve for x
    x = 43,697,504,453.61/307,928.90
  6. Step 6: Final answer
    x = 141,907.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.