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Finding the Fourth Proportional to 407,367.80, 562,166.80 and 226,081.88

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Solution

The fourth proportional to 407,367.80, 562,166.80 and 226,081.88 is: 311,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,367.80 : 562,166.80 = 226,081.88 : x
  2. Step 2: Convert to fraction form
    407,367.80/562,166.80 = 226,081.88/x
  3. Step 3: Cross multiply
    407,367.80x = 562,166.80 × 226,081.88
  4. Step 4: Simplify right side
    407,367.80x = 127,095,727,017.58
  5. Step 5: Solve for x
    x = 127,095,727,017.58/407,367.80
  6. Step 6: Final answer
    x = 311,992.57

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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.