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Finding the Fourth Proportional to 296,448, 444,718.08 and 99,502.08

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Solution

The fourth proportional to 296,448, 444,718.08 and 99,502.08 is: 149,268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,448 : 444,718.08 = 99,502.08 : x
  2. Step 2: Convert to fraction form
    296,448/444,718.08 = 99,502.08/x
  3. Step 3: Cross multiply
    296,448x = 444,718.08 × 99,502.08
  4. Step 4: Simplify right side
    296,448x = 44,250,373,973.61
  5. Step 5: Solve for x
    x = 44,250,373,973.61/296,448
  6. Step 6: Final answer
    x = 149,268.59

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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.