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Finding the Fourth Proportional to 412,501.60, 569,206.60 and 228,735.55

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Solution

The fourth proportional to 412,501.60, 569,206.60 and 228,735.55 is: 315,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,501.60 : 569,206.60 = 228,735.55 : x
  2. Step 2: Convert to fraction form
    412,501.60/569,206.60 = 228,735.55/x
  3. Step 3: Cross multiply
    412,501.60x = 569,206.60 × 228,735.55
  4. Step 4: Simplify right side
    412,501.60x = 130,197,787,401.47
  5. Step 5: Solve for x
    x = 130,197,787,401.47/412,501.60
  6. Step 6: Final answer
    x = 315,629.77

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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.