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Finding the Fourth Proportional to 335,281.38, 462,705.14 and 207,997.98

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Solution

The fourth proportional to 335,281.38, 462,705.14 and 207,997.98 is: 287,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,281.38 : 462,705.14 = 207,997.98 : x
  2. Step 2: Convert to fraction form
    335,281.38/462,705.14 = 207,997.98/x
  3. Step 3: Cross multiply
    335,281.38x = 462,705.14 × 207,997.98
  4. Step 4: Simplify right side
    335,281.38x = 96,241,734,455.62
  5. Step 5: Solve for x
    x = 96,241,734,455.62/335,281.38
  6. Step 6: Final answer
    x = 287,047.66

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Why These Related Problems?

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