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Finding the Fourth Proportional to 299,788.51, 413,713.56 and 163,828.19

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Solution

The fourth proportional to 299,788.51, 413,713.56 and 163,828.19 is: 226,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,788.51 : 413,713.56 = 163,828.19 : x
  2. Step 2: Convert to fraction form
    299,788.51/413,713.56 = 163,828.19/x
  3. Step 3: Cross multiply
    299,788.51x = 413,713.56 × 163,828.19
  4. Step 4: Simplify right side
    299,788.51x = 67,777,942,113.22
  5. Step 5: Solve for x
    x = 67,777,942,113.22/299,788.51
  6. Step 6: Final answer
    x = 226,085.86

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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.