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Finding the Fourth Proportional to 298,160.54, 411,449.67 and 162,194.66

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Solution

The fourth proportional to 298,160.54, 411,449.67 and 162,194.66 is: 223,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,160.54 : 411,449.67 = 162,194.66 : x
  2. Step 2: Convert to fraction form
    298,160.54/411,449.67 = 162,194.66/x
  3. Step 3: Cross multiply
    298,160.54x = 411,449.67 × 162,194.66
  4. Step 4: Simplify right side
    298,160.54x = 66,734,939,332.76
  5. Step 5: Solve for x
    x = 66,734,939,332.76/298,160.54
  6. Step 6: Final answer
    x = 223,822.17

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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.