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Finding the Fourth Proportional to 407,049.14, 610,702.47 and 182,602.10

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Solution

The fourth proportional to 407,049.14, 610,702.47 and 182,602.10 is: 273,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,049.14 : 610,702.47 = 182,602.10 : x
  2. Step 2: Convert to fraction form
    407,049.14/610,702.47 = 182,602.10/x
  3. Step 3: Cross multiply
    407,049.14x = 610,702.47 × 182,602.10
  4. Step 4: Simplify right side
    407,049.14x = 111,515,553,497.19
  5. Step 5: Solve for x
    x = 111,515,553,497.19/407,049.14
  6. Step 6: Final answer
    x = 273,960.91

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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.