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Finding the Fourth Proportional to 407,743.54, 562,700.42 and 226,458.86

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Solution

The fourth proportional to 407,743.54, 562,700.42 and 226,458.86 is: 312,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,743.54 : 562,700.42 = 226,458.86 : x
  2. Step 2: Convert to fraction form
    407,743.54/562,700.42 = 226,458.86/x
  3. Step 3: Cross multiply
    407,743.54x = 562,700.42 × 226,458.86
  4. Step 4: Simplify right side
    407,743.54x = 127,428,492,538.15
  5. Step 5: Solve for x
    x = 127,428,492,538.15/407,743.54
  6. Step 6: Final answer
    x = 312,521.18

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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.