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Finding the Fourth Proportional to 361,051.96, 498,267.28 and 199,907.02

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Solution

The fourth proportional to 361,051.96, 498,267.28 and 199,907.02 is: 275,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,051.96 : 498,267.28 = 199,907.02 : x
  2. Step 2: Convert to fraction form
    361,051.96/498,267.28 = 199,907.02/x
  3. Step 3: Cross multiply
    361,051.96x = 498,267.28 × 199,907.02
  4. Step 4: Simplify right side
    361,051.96x = 99,607,127,108.31
  5. Step 5: Solve for x
    x = 99,607,127,108.31/361,051.96
  6. Step 6: Final answer
    x = 275,880.31

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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.