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Finding the Fourth Proportional to 417,682.76, 576,402.77 and 226,696.17

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Solution

The fourth proportional to 417,682.76, 576,402.77 and 226,696.17 is: 312,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,682.76 : 576,402.77 = 226,696.17 : x
  2. Step 2: Convert to fraction form
    417,682.76/576,402.77 = 226,696.17/x
  3. Step 3: Cross multiply
    417,682.76x = 576,402.77 × 226,696.17
  4. Step 4: Simplify right side
    417,682.76x = 130,668,300,336.39
  5. Step 5: Solve for x
    x = 130,668,300,336.39/417,682.76
  6. Step 6: Final answer
    x = 312,841.02

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Half scale
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Double scale
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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.