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Finding the Fourth Proportional to 361,510.93, 498,914.94 and 200,416.51

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Solution

The fourth proportional to 361,510.93, 498,914.94 and 200,416.51 is: 276,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,510.93 : 498,914.94 = 200,416.51 : x
  2. Step 2: Convert to fraction form
    361,510.93/498,914.94 = 200,416.51/x
  3. Step 3: Cross multiply
    361,510.93x = 498,914.94 × 200,416.51
  4. Step 4: Simplify right side
    361,510.93x = 99,990,791,061.66
  5. Step 5: Solve for x
    x = 99,990,791,061.66/361,510.93
  6. Step 6: Final answer
    x = 276,591.34

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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.