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Finding the Fourth Proportional to 407,671.83, 562,568.31 and 226,395.32

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Solution

The fourth proportional to 407,671.83, 562,568.31 and 226,395.32 is: 312,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,671.83 : 562,568.31 = 226,395.32 : x
  2. Step 2: Convert to fraction form
    407,671.83/562,568.31 = 226,395.32/x
  3. Step 3: Cross multiply
    407,671.83x = 562,568.31 × 226,395.32
  4. Step 4: Simplify right side
    407,671.83x = 127,362,829,751.47
  5. Step 5: Solve for x
    x = 127,362,829,751.47/407,671.83
  6. Step 6: Final answer
    x = 312,415.09

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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.