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Finding the Fourth Proportional to 294,446.49, 406,325.93 and 179,916.86

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Solution

The fourth proportional to 294,446.49, 406,325.93 and 179,916.86 is: 248,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,446.49 : 406,325.93 = 179,916.86 : x
  2. Step 2: Convert to fraction form
    294,446.49/406,325.93 = 179,916.86/x
  3. Step 3: Cross multiply
    294,446.49x = 406,325.93 × 179,916.86
  4. Step 4: Simplify right side
    294,446.49x = 73,104,882,530.97
  5. Step 5: Solve for x
    x = 73,104,882,530.97/294,446.49
  6. Step 6: Final answer
    x = 248,279.01

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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.