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Finding the Fourth Proportional to 294,769, 442,246.96 and 105,225.30

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Solution

The fourth proportional to 294,769, 442,246.96 and 105,225.30 is: 157,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,769 : 442,246.96 = 105,225.30 : x
  2. Step 2: Convert to fraction form
    294,769/442,246.96 = 105,225.30/x
  3. Step 3: Cross multiply
    294,769x = 442,246.96 × 105,225.30
  4. Step 4: Simplify right side
    294,769x = 46,535,568,513.96
  5. Step 5: Solve for x
    x = 46,535,568,513.96/294,769
  6. Step 6: Final answer
    x = 157,871.31

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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.