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Finding the Fourth Proportional to 378,384.36, 567,508.48 and 97,884.60

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Solution

The fourth proportional to 378,384.36, 567,508.48 and 97,884.60 is: 146,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,384.36 : 567,508.48 = 97,884.60 : x
  2. Step 2: Convert to fraction form
    378,384.36/567,508.48 = 97,884.60/x
  3. Step 3: Cross multiply
    378,384.36x = 567,508.48 × 97,884.60
  4. Step 4: Simplify right side
    378,384.36x = 55,550,340,561.41
  5. Step 5: Solve for x
    x = 55,550,340,561.41/378,384.36
  6. Step 6: Final answer
    x = 146,809.29

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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.