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Finding the Fourth Proportional to 376,299.10, 564,494.73 and 165,989.98

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Solution

The fourth proportional to 376,299.10, 564,494.73 and 165,989.98 is: 249,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,299.10 : 564,494.73 = 165,989.98 : x
  2. Step 2: Convert to fraction form
    376,299.10/564,494.73 = 165,989.98/x
  3. Step 3: Cross multiply
    376,299.10x = 564,494.73 × 165,989.98
  4. Step 4: Simplify right side
    376,299.10x = 93,700,468,942.81
  5. Step 5: Solve for x
    x = 93,700,468,942.81/376,299.10
  6. Step 6: Final answer
    x = 249,005.30

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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.