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Finding the Fourth Proportional to 312,876.60, 469,533.60 and 200,829.30

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Solution

The fourth proportional to 312,876.60, 469,533.60 and 200,829.30 is: 301,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,876.60 : 469,533.60 = 200,829.30 : x
  2. Step 2: Convert to fraction form
    312,876.60/469,533.60 = 200,829.30/x
  3. Step 3: Cross multiply
    312,876.60x = 469,533.60 × 200,829.30
  4. Step 4: Simplify right side
    312,876.60x = 94,296,104,214.48
  5. Step 5: Solve for x
    x = 94,296,104,214.48/312,876.60
  6. Step 6: Final answer
    x = 301,384.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.