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Finding the Fourth Proportional to 309,746.79, 464,434.34 and 107,276.31

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Solution

The fourth proportional to 309,746.79, 464,434.34 and 107,276.31 is: 160,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,746.79 : 464,434.34 = 107,276.31 : x
  2. Step 2: Convert to fraction form
    309,746.79/464,434.34 = 107,276.31/x
  3. Step 3: Cross multiply
    309,746.79x = 464,434.34 × 107,276.31
  4. Step 4: Simplify right side
    309,746.79x = 49,822,801,696.10
  5. Step 5: Solve for x
    x = 49,822,801,696.10/309,746.79
  6. Step 6: Final answer
    x = 160,850.10

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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.