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Finding the Fourth Proportional to 378,252.64, 567,398.40 and 97,772.32

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Solution

The fourth proportional to 378,252.64, 567,398.40 and 97,772.32 is: 146,663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,252.64 : 567,398.40 = 97,772.32 : x
  2. Step 2: Convert to fraction form
    378,252.64/567,398.40 = 97,772.32/x
  3. Step 3: Cross multiply
    378,252.64x = 567,398.40 × 97,772.32
  4. Step 4: Simplify right side
    378,252.64x = 55,475,857,932.29
  5. Step 5: Solve for x
    x = 55,475,857,932.29/378,252.64
  6. Step 6: Final answer
    x = 146,663.50

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