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Finding the Fourth Proportional to 299,460.24, 413,259.12 and 163,492.62

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Solution

The fourth proportional to 299,460.24, 413,259.12 and 163,492.62 is: 225,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,460.24 : 413,259.12 = 163,492.62 : x
  2. Step 2: Convert to fraction form
    299,460.24/413,259.12 = 163,492.62/x
  3. Step 3: Cross multiply
    299,460.24x = 413,259.12 × 163,492.62
  4. Step 4: Simplify right side
    299,460.24x = 67,564,816,267.69
  5. Step 5: Solve for x
    x = 67,564,816,267.69/299,460.24
  6. Step 6: Final answer
    x = 225,621.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.