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Finding the Fourth Proportional to 467,935.20, 701,902.80 and 408,886.20

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Solution

The fourth proportional to 467,935.20, 701,902.80 and 408,886.20 is: 613,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,935.20 : 701,902.80 = 408,886.20 : x
  2. Step 2: Convert to fraction form
    467,935.20/701,902.80 = 408,886.20/x
  3. Step 3: Cross multiply
    467,935.20x = 701,902.80 × 408,886.20
  4. Step 4: Simplify right side
    467,935.20x = 286,998,368,661.36
  5. Step 5: Solve for x
    x = 286,998,368,661.36/467,935.20
  6. Step 6: Final answer
    x = 613,329.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.