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Finding the Fourth Proportional to 376,071.54, 564,107.52 and 186,662.76

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Solution

The fourth proportional to 376,071.54, 564,107.52 and 186,662.76 is: 279,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,071.54 : 564,107.52 = 186,662.76 : x
  2. Step 2: Convert to fraction form
    376,071.54/564,107.52 = 186,662.76/x
  3. Step 3: Cross multiply
    376,071.54x = 564,107.52 × 186,662.76
  4. Step 4: Simplify right side
    376,071.54x = 105,297,866,619.96
  5. Step 5: Solve for x
    x = 105,297,866,619.96/376,071.54
  6. Step 6: Final answer
    x = 279,994.24

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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.