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Finding the Fourth Proportional to 412,532.76, 569,296.54 and 228,784.51

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Solution

The fourth proportional to 412,532.76, 569,296.54 and 228,784.51 is: 315,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,532.76 : 569,296.54 = 228,784.51 : x
  2. Step 2: Convert to fraction form
    412,532.76/569,296.54 = 228,784.51/x
  3. Step 3: Cross multiply
    412,532.76x = 569,296.54 × 228,784.51
  4. Step 4: Simplify right side
    412,532.76x = 130,246,229,659.28
  5. Step 5: Solve for x
    x = 130,246,229,659.28/412,532.76
  6. Step 6: Final answer
    x = 315,723.36

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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.