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Finding the Fourth Proportional to 299,324.51, 413,013.43 and 176,836.83

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Solution

The fourth proportional to 299,324.51, 413,013.43 and 176,836.83 is: 244,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,324.51 : 413,013.43 = 176,836.83 : x
  2. Step 2: Convert to fraction form
    299,324.51/413,013.43 = 176,836.83/x
  3. Step 3: Cross multiply
    299,324.51x = 413,013.43 × 176,836.83
  4. Step 4: Simplify right side
    299,324.51x = 73,035,985,708.63
  5. Step 5: Solve for x
    x = 73,035,985,708.63/299,324.51
  6. Step 6: Final answer
    x = 244,002.69

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1.5x scale

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.