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Finding the Fourth Proportional to 361,509.93, 498,913.56 and 200,415.51

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Solution

The fourth proportional to 361,509.93, 498,913.56 and 200,415.51 is: 276,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,509.93 : 498,913.56 = 200,415.51 : x
  2. Step 2: Convert to fraction form
    361,509.93/498,913.56 = 200,415.51/x
  3. Step 3: Cross multiply
    361,509.93x = 498,913.56 × 200,415.51
  4. Step 4: Simplify right side
    361,509.93x = 99,990,015,573.32
  5. Step 5: Solve for x
    x = 99,990,015,573.32/361,509.93
  6. Step 6: Final answer
    x = 276,589.96

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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.