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Finding the Fourth Proportional to 299,492.16, 413,296.06 and 163,525.68

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Solution

The fourth proportional to 299,492.16, 413,296.06 and 163,525.68 is: 225,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,492.16 : 413,296.06 = 163,525.68 : x
  2. Step 2: Convert to fraction form
    299,492.16/413,296.06 = 163,525.68/x
  3. Step 3: Cross multiply
    299,492.16x = 413,296.06 × 163,525.68
  4. Step 4: Simplify right side
    299,492.16x = 67,584,519,252.82
  5. Step 5: Solve for x
    x = 67,584,519,252.82/299,492.16
  6. Step 6: Final answer
    x = 225,663.73

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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.