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Finding the Fourth Proportional to 294,650.69, 442,008.64 and 105,155.24

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Solution

The fourth proportional to 294,650.69, 442,008.64 and 105,155.24 is: 157,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,650.69 : 442,008.64 = 105,155.24 : x
  2. Step 2: Convert to fraction form
    294,650.69/442,008.64 = 105,155.24/x
  3. Step 3: Cross multiply
    294,650.69x = 442,008.64 × 105,155.24
  4. Step 4: Simplify right side
    294,650.69x = 46,479,524,621.27
  5. Step 5: Solve for x
    x = 46,479,524,621.27/294,650.69
  6. Step 6: Final answer
    x = 157,744.50

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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.