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Finding the Fourth Proportional to 299,475.52, 413,127.07 and 178,531.58

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Solution

The fourth proportional to 299,475.52, 413,127.07 and 178,531.58 is: 246,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,475.52 : 413,127.07 = 178,531.58 : x
  2. Step 2: Convert to fraction form
    299,475.52/413,127.07 = 178,531.58/x
  3. Step 3: Cross multiply
    299,475.52x = 413,127.07 × 178,531.58
  4. Step 4: Simplify right side
    299,475.52x = 73,756,229,134.36
  5. Step 5: Solve for x
    x = 73,756,229,134.36/299,475.52
  6. Step 6: Final answer
    x = 246,284.67

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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.