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Finding the Fourth Proportional to 399,795.84, 599,490 and 133,460.64

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Solution

The fourth proportional to 399,795.84, 599,490 and 133,460.64 is: 200,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,795.84 : 599,490 = 133,460.64 : x
  2. Step 2: Convert to fraction form
    399,795.84/599,490 = 133,460.64/x
  3. Step 3: Cross multiply
    399,795.84x = 599,490 × 133,460.64
  4. Step 4: Simplify right side
    399,795.84x = 80,008,319,073.60
  5. Step 5: Solve for x
    x = 80,008,319,073.60/399,795.84
  6. Step 6: Final answer
    x = 200,122.94

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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.