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Finding the Fourth Proportional to 361,094.66, 498,304.50 and 199,946.24

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Solution

The fourth proportional to 361,094.66, 498,304.50 and 199,946.24 is: 275,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,094.66 : 498,304.50 = 199,946.24 : x
  2. Step 2: Convert to fraction form
    361,094.66/498,304.50 = 199,946.24/x
  3. Step 3: Cross multiply
    361,094.66x = 498,304.50 × 199,946.24
  4. Step 4: Simplify right side
    361,094.66x = 99,634,111,150.08
  5. Step 5: Solve for x
    x = 99,634,111,150.08/361,094.66
  6. Step 6: Final answer
    x = 275,922.42

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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.