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Finding the Fourth Proportional to 499,943.67, 689,904.84 and 285,153

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Solution

The fourth proportional to 499,943.67, 689,904.84 and 285,153 is: 393,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,943.67 : 689,904.84 = 285,153 : x
  2. Step 2: Convert to fraction form
    499,943.67/689,904.84 = 285,153/x
  3. Step 3: Cross multiply
    499,943.67x = 689,904.84 × 285,153
  4. Step 4: Simplify right side
    499,943.67x = 196,728,434,840.52
  5. Step 5: Solve for x
    x = 196,728,434,840.52/499,943.67
  6. Step 6: Final answer
    x = 393,501.20

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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.