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Finding the Fourth Proportional to 299,368.53, 449,251.11 and 164,526.76

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Solution

The fourth proportional to 299,368.53, 449,251.11 and 164,526.76 is: 246,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,368.53 : 449,251.11 = 164,526.76 : x
  2. Step 2: Convert to fraction form
    299,368.53/449,251.11 = 164,526.76/x
  3. Step 3: Cross multiply
    299,368.53x = 449,251.11 × 164,526.76
  4. Step 4: Simplify right side
    299,368.53x = 73,913,829,554.70
  5. Step 5: Solve for x
    x = 73,913,829,554.70/299,368.53
  6. Step 6: Final answer
    x = 246,899.13

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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.