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Finding the Fourth Proportional to 407,646.96, 562,566.95 and 226,361.92

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Solution

The fourth proportional to 407,646.96, 562,566.95 and 226,361.92 is: 312,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,646.96 : 562,566.95 = 226,361.92 : x
  2. Step 2: Convert to fraction form
    407,646.96/562,566.95 = 226,361.92/x
  3. Step 3: Cross multiply
    407,646.96x = 562,566.95 × 226,361.92
  4. Step 4: Simplify right side
    407,646.96x = 127,343,734,930.54
  5. Step 5: Solve for x
    x = 127,343,734,930.54/407,646.96
  6. Step 6: Final answer
    x = 312,387.30

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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.