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Finding the Fourth Proportional to 407,682.96, 562,583.52 and 226,406.40

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Solution

The fourth proportional to 407,682.96, 562,583.52 and 226,406.40 is: 312,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,682.96 : 562,583.52 = 226,406.40 : x
  2. Step 2: Convert to fraction form
    407,682.96/562,583.52 = 226,406.40/x
  3. Step 3: Cross multiply
    407,682.96x = 562,583.52 × 226,406.40
  4. Step 4: Simplify right side
    407,682.96x = 127,372,509,462.53
  5. Step 5: Solve for x
    x = 127,372,509,462.53/407,682.96
  6. Step 6: Final answer
    x = 312,430.30

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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.