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Finding the Fourth Proportional to 421,688.88, 582,285.24 and 301,199.76

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Solution

The fourth proportional to 421,688.88, 582,285.24 and 301,199.76 is: 415,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,688.88 : 582,285.24 = 301,199.76 : x
  2. Step 2: Convert to fraction form
    421,688.88/582,285.24 = 301,199.76/x
  3. Step 3: Cross multiply
    421,688.88x = 582,285.24 × 301,199.76
  4. Step 4: Simplify right side
    421,688.88x = 175,384,174,539.54
  5. Step 5: Solve for x
    x = 175,384,174,539.54/421,688.88
  6. Step 6: Final answer
    x = 415,908.94

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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.