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Finding the Fourth Proportional to 309,622.60, 464,465.79 and 107,218.32

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Solution

The fourth proportional to 309,622.60, 464,465.79 and 107,218.32 is: 160,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,622.60 : 464,465.79 = 107,218.32 : x
  2. Step 2: Convert to fraction form
    309,622.60/464,465.79 = 107,218.32/x
  3. Step 3: Cross multiply
    309,622.60x = 464,465.79 × 107,218.32
  4. Step 4: Simplify right side
    309,622.60x = 49,799,239,110.90
  5. Step 5: Solve for x
    x = 49,799,239,110.90/309,622.60
  6. Step 6: Final answer
    x = 160,838.51

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