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Finding the Fourth Proportional to 407,410.68, 562,215.94 and 226,117.94

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Solution

The fourth proportional to 407,410.68, 562,215.94 and 226,117.94 is: 312,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,410.68 : 562,215.94 = 226,117.94 : x
  2. Step 2: Convert to fraction form
    407,410.68/562,215.94 = 226,117.94/x
  3. Step 3: Cross multiply
    407,410.68x = 562,215.94 × 226,117.94
  4. Step 4: Simplify right side
    407,410.68x = 127,127,106,811.59
  5. Step 5: Solve for x
    x = 127,127,106,811.59/407,410.68
  6. Step 6: Final answer
    x = 312,036.75

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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.