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Finding the Fourth Proportional to 407,684.46, 562,585.59 and 226,407.90

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Solution

The fourth proportional to 407,684.46, 562,585.59 and 226,407.90 is: 312,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,684.46 : 562,585.59 = 226,407.90 : x
  2. Step 2: Convert to fraction form
    407,684.46/562,585.59 = 226,407.90/x
  3. Step 3: Cross multiply
    407,684.46x = 562,585.59 × 226,407.90
  4. Step 4: Simplify right side
    407,684.46x = 127,373,822,002.16
  5. Step 5: Solve for x
    x = 127,373,822,002.16/407,684.46
  6. Step 6: Final answer
    x = 312,432.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.