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Finding the Fourth Proportional to 306,639.80, 460,036.26 and 106,963.10

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Solution

The fourth proportional to 306,639.80, 460,036.26 and 106,963.10 is: 160,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,639.80 : 460,036.26 = 106,963.10 : x
  2. Step 2: Convert to fraction form
    306,639.80/460,036.26 = 106,963.10/x
  3. Step 3: Cross multiply
    306,639.80x = 460,036.26 × 106,963.10
  4. Step 4: Simplify right side
    306,639.80x = 49,206,904,482.01
  5. Step 5: Solve for x
    x = 49,206,904,482.01/306,639.80
  6. Step 6: Final answer
    x = 160,471.36

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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.