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Finding the Fourth Proportional to 408,210.66, 563,134.44 and 265,015.62

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Solution

The fourth proportional to 408,210.66, 563,134.44 and 265,015.62 is: 365,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,210.66 : 563,134.44 = 265,015.62 : x
  2. Step 2: Convert to fraction form
    408,210.66/563,134.44 = 265,015.62/x
  3. Step 3: Cross multiply
    408,210.66x = 563,134.44 × 265,015.62
  4. Step 4: Simplify right side
    408,210.66x = 149,239,422,759.95
  5. Step 5: Solve for x
    x = 149,239,422,759.95/408,210.66
  6. Step 6: Final answer
    x = 365,594.13

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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.