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Finding the Fourth Proportional to 407,266.52, 610,901.80 and 167,511.16

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Solution

The fourth proportional to 407,266.52, 610,901.80 and 167,511.16 is: 251,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,266.52 : 610,901.80 = 167,511.16 : x
  2. Step 2: Convert to fraction form
    407,266.52/610,901.80 = 167,511.16/x
  3. Step 3: Cross multiply
    407,266.52x = 610,901.80 × 167,511.16
  4. Step 4: Simplify right side
    407,266.52x = 102,332,869,164.09
  5. Step 5: Solve for x
    x = 102,332,869,164.09/407,266.52
  6. Step 6: Final answer
    x = 251,267.57

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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.