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Finding the Fourth Proportional to 409,367.22, 564,925.34 and 228,081.32

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Solution

The fourth proportional to 409,367.22, 564,925.34 and 228,081.32 is: 314,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,367.22 : 564,925.34 = 228,081.32 : x
  2. Step 2: Convert to fraction form
    409,367.22/564,925.34 = 228,081.32/x
  3. Step 3: Cross multiply
    409,367.22x = 564,925.34 × 228,081.32
  4. Step 4: Simplify right side
    409,367.22x = 128,848,915,829.74
  5. Step 5: Solve for x
    x = 128,848,915,829.74/409,367.22
  6. Step 6: Final answer
    x = 314,751.43

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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.