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Finding the Fourth Proportional to 360,920.91, 498,058.16 and 199,776.27

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Solution

The fourth proportional to 360,920.91, 498,058.16 and 199,776.27 is: 275,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,920.91 : 498,058.16 = 199,776.27 : x
  2. Step 2: Convert to fraction form
    360,920.91/498,058.16 = 199,776.27/x
  3. Step 3: Cross multiply
    360,920.91x = 498,058.16 × 199,776.27
  4. Step 4: Simplify right side
    360,920.91x = 99,500,200,448.98
  5. Step 5: Solve for x
    x = 99,500,200,448.98/360,920.91
  6. Step 6: Final answer
    x = 275,684.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.