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Finding the Fourth Proportional to 289,446.96, 399,436.81 and 176,269.71

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Solution

The fourth proportional to 289,446.96, 399,436.81 and 176,269.71 is: 243,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,446.96 : 399,436.81 = 176,269.71 : x
  2. Step 2: Convert to fraction form
    289,446.96/399,436.81 = 176,269.71/x
  3. Step 3: Cross multiply
    289,446.96x = 399,436.81 × 176,269.71
  4. Step 4: Simplify right side
    289,446.96x = 70,408,611,719.24
  5. Step 5: Solve for x
    x = 70,408,611,719.24/289,446.96
  6. Step 6: Final answer
    x = 243,252.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.