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Finding the Fourth Proportional to 299,338.58, 413,095.74 and 163,381.16

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Solution

The fourth proportional to 299,338.58, 413,095.74 and 163,381.16 is: 225,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,338.58 : 413,095.74 = 163,381.16 : x
  2. Step 2: Convert to fraction form
    299,338.58/413,095.74 = 163,381.16/x
  3. Step 3: Cross multiply
    299,338.58x = 413,095.74 × 163,381.16
  4. Step 4: Simplify right side
    299,338.58x = 67,492,061,192.26
  5. Step 5: Solve for x
    x = 67,492,061,192.26/299,338.58
  6. Step 6: Final answer
    x = 225,470.64

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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.