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Finding the Fourth Proportional to 289,909.88, 400,119.37 and 176,798.24

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Solution

The fourth proportional to 289,909.88, 400,119.37 and 176,798.24 is: 244,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,909.88 : 400,119.37 = 176,798.24 : x
  2. Step 2: Convert to fraction form
    289,909.88/400,119.37 = 176,798.24/x
  3. Step 3: Cross multiply
    289,909.88x = 400,119.37 × 176,798.24
  4. Step 4: Simplify right side
    289,909.88x = 70,740,397,963.32
  5. Step 5: Solve for x
    x = 70,740,397,963.32/289,909.88
  6. Step 6: Final answer
    x = 244,008.24

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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.