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Finding the Fourth Proportional to 407,188.08, 561,919.68 and 228,340.08

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Solution

The fourth proportional to 407,188.08, 561,919.68 and 228,340.08 is: 315,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,188.08 : 561,919.68 = 228,340.08 : x
  2. Step 2: Convert to fraction form
    407,188.08/561,919.68 = 228,340.08/x
  3. Step 3: Cross multiply
    407,188.08x = 561,919.68 × 228,340.08
  4. Step 4: Simplify right side
    407,188.08x = 128,308,784,684.77
  5. Step 5: Solve for x
    x = 128,308,784,684.77/407,188.08
  6. Step 6: Final answer
    x = 315,109.38

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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.