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Finding the Fourth Proportional to 294,615.24, 441,963.66 and 105,019.74

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Solution

The fourth proportional to 294,615.24, 441,963.66 and 105,019.74 is: 157,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,615.24 : 441,963.66 = 105,019.74 : x
  2. Step 2: Convert to fraction form
    294,615.24/441,963.66 = 105,019.74/x
  3. Step 3: Cross multiply
    294,615.24x = 441,963.66 × 105,019.74
  4. Step 4: Simplify right side
    294,615.24x = 46,414,908,662.65
  5. Step 5: Solve for x
    x = 46,414,908,662.65/294,615.24
  6. Step 6: Final answer
    x = 157,544.15

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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.