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Finding the Fourth Proportional to 361,095.19, 498,305.25 and 199,946.78

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Solution

The fourth proportional to 361,095.19, 498,305.25 and 199,946.78 is: 275,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,095.19 : 498,305.25 = 199,946.78 : x
  2. Step 2: Convert to fraction form
    361,095.19/498,305.25 = 199,946.78/x
  3. Step 3: Cross multiply
    361,095.19x = 498,305.25 × 199,946.78
  4. Step 4: Simplify right side
    361,095.19x = 99,634,527,703.07
  5. Step 5: Solve for x
    x = 99,634,527,703.07/361,095.19
  6. Step 6: Final answer
    x = 275,923.17

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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.