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Finding the Fourth Proportional to 295,062.58, 442,485.43 and 105,471.79

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Solution

The fourth proportional to 295,062.58, 442,485.43 and 105,471.79 is: 158,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,062.58 : 442,485.43 = 105,471.79 : x
  2. Step 2: Convert to fraction form
    295,062.58/442,485.43 = 105,471.79/x
  3. Step 3: Cross multiply
    295,062.58x = 442,485.43 × 105,471.79
  4. Step 4: Simplify right side
    295,062.58x = 46,669,729,574.41
  5. Step 5: Solve for x
    x = 46,669,729,574.41/295,062.58
  6. Step 6: Final answer
    x = 158,168.92

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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.