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Finding the Fourth Proportional to 299,483.11, 413,237.95 and 176,958.45

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Solution

The fourth proportional to 299,483.11, 413,237.95 and 176,958.45 is: 244,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,483.11 : 413,237.95 = 176,958.45 : x
  2. Step 2: Convert to fraction form
    299,483.11/413,237.95 = 176,958.45/x
  3. Step 3: Cross multiply
    299,483.11x = 413,237.95 × 176,958.45
  4. Step 4: Simplify right side
    299,483.11x = 73,125,947,113.18
  5. Step 5: Solve for x
    x = 73,125,947,113.18/299,483.11
  6. Step 6: Final answer
    x = 244,173.86

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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.