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Finding the Fourth Proportional to 399,797.34, 599,492.25 and 133,462.14

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Solution

The fourth proportional to 399,797.34, 599,492.25 and 133,462.14 is: 200,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,797.34 : 599,492.25 = 133,462.14 : x
  2. Step 2: Convert to fraction form
    399,797.34/599,492.25 = 133,462.14/x
  3. Step 3: Cross multiply
    399,797.34x = 599,492.25 × 133,462.14
  4. Step 4: Simplify right side
    399,797.34x = 80,009,518,598.42
  5. Step 5: Solve for x
    x = 80,009,518,598.42/399,797.34
  6. Step 6: Final answer
    x = 200,125.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.