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Finding the Fourth Proportional to 299,287.76, 413,103.48 and 176,893.52

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Solution

The fourth proportional to 299,287.76, 413,103.48 and 176,893.52 is: 244,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,287.76 : 413,103.48 = 176,893.52 : x
  2. Step 2: Convert to fraction form
    299,287.76/413,103.48 = 176,893.52/x
  3. Step 3: Cross multiply
    299,287.76x = 413,103.48 × 176,893.52
  4. Step 4: Simplify right side
    299,287.76x = 73,075,328,701.45
  5. Step 5: Solve for x
    x = 73,075,328,701.45/299,287.76
  6. Step 6: Final answer
    x = 244,164.11

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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.