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Finding the Fourth Proportional to 407,858.46, 562,934.52 and 226,632.57

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Solution

The fourth proportional to 407,858.46, 562,934.52 and 226,632.57 is: 312,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,858.46 : 562,934.52 = 226,632.57 : x
  2. Step 2: Convert to fraction form
    407,858.46/562,934.52 = 226,632.57/x
  3. Step 3: Cross multiply
    407,858.46x = 562,934.52 × 226,632.57
  4. Step 4: Simplify right side
    407,858.46x = 127,579,297,009.32
  5. Step 5: Solve for x
    x = 127,579,297,009.32/407,858.46
  6. Step 6: Final answer
    x = 312,802.87

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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.