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Finding the Fourth Proportional to 299,340.51, 413,093.72 and 176,836.89

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Solution

The fourth proportional to 299,340.51, 413,093.72 and 176,836.89 is: 244,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,340.51 : 413,093.72 = 176,836.89 : x
  2. Step 2: Convert to fraction form
    299,340.51/413,093.72 = 176,836.89/x
  3. Step 3: Cross multiply
    299,340.51x = 413,093.72 × 176,836.89
  4. Step 4: Simplify right side
    299,340.51x = 73,050,207,839.15
  5. Step 5: Solve for x
    x = 73,050,207,839.15/299,340.51
  6. Step 6: Final answer
    x = 244,037.16

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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.