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Finding the Fourth Proportional to 361,095.26, 498,297.75 and 199,937.50

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Solution

The fourth proportional to 361,095.26, 498,297.75 and 199,937.50 is: 275,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,095.26 : 498,297.75 = 199,937.50 : x
  2. Step 2: Convert to fraction form
    361,095.26/498,297.75 = 199,937.50/x
  3. Step 3: Cross multiply
    361,095.26x = 498,297.75 × 199,937.50
  4. Step 4: Simplify right side
    361,095.26x = 99,628,406,390.63
  5. Step 5: Solve for x
    x = 99,628,406,390.63/361,095.26
  6. Step 6: Final answer
    x = 275,906.16

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1.5x scale

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.