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Finding the Fourth Proportional to 294,797.34, 442,219.10 and 105,298.65

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Solution

The fourth proportional to 294,797.34, 442,219.10 and 105,298.65 is: 157,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,797.34 : 442,219.10 = 105,298.65 : x
  2. Step 2: Convert to fraction form
    294,797.34/442,219.10 = 105,298.65/x
  3. Step 3: Cross multiply
    294,797.34x = 442,219.10 × 105,298.65
  4. Step 4: Simplify right side
    294,797.34x = 46,565,073,707.72
  5. Step 5: Solve for x
    x = 46,565,073,707.72/294,797.34
  6. Step 6: Final answer
    x = 157,956.22

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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.