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Finding the Fourth Proportional to 496,065.87, 684,908.87 and 332,966.70

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Solution

The fourth proportional to 496,065.87, 684,908.87 and 332,966.70 is: 459,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,065.87 : 684,908.87 = 332,966.70 : x
  2. Step 2: Convert to fraction form
    496,065.87/684,908.87 = 332,966.70/x
  3. Step 3: Cross multiply
    496,065.87x = 684,908.87 × 332,966.70
  4. Step 4: Simplify right side
    496,065.87x = 228,051,844,579.80
  5. Step 5: Solve for x
    x = 228,051,844,579.80/496,065.87
  6. Step 6: Final answer
    x = 459,720.89

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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.