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Finding the Fourth Proportional to 582,509.92, 873,975.24 and 203,486.64

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Solution

The fourth proportional to 582,509.92, 873,975.24 and 203,486.64 is: 305,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,509.92 : 873,975.24 = 203,486.64 : x
  2. Step 2: Convert to fraction form
    582,509.92/873,975.24 = 203,486.64/x
  3. Step 3: Cross multiply
    582,509.92x = 873,975.24 × 203,486.64
  4. Step 4: Simplify right side
    582,509.92x = 177,842,285,030.79
  5. Step 5: Solve for x
    x = 177,842,285,030.79/582,509.92
  6. Step 6: Final answer
    x = 305,303.44

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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.