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Finding the Fourth Proportional to 393,881.87, 590,822.82 and 314,624.99

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Solution

The fourth proportional to 393,881.87, 590,822.82 and 314,624.99 is: 471,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,881.87 : 590,822.82 = 314,624.99 : x
  2. Step 2: Convert to fraction form
    393,881.87/590,822.82 = 314,624.99/x
  3. Step 3: Cross multiply
    393,881.87x = 590,822.82 × 314,624.99
  4. Step 4: Simplify right side
    393,881.87x = 185,887,620,880.16
  5. Step 5: Solve for x
    x = 185,887,620,880.16/393,881.87
  6. Step 6: Final answer
    x = 471,937.50

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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.