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Finding the Fourth Proportional to 496,823.10, 693,977.70 and 496,823.10

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Solution

The fourth proportional to 496,823.10, 693,977.70 and 496,823.10 is: 693,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,823.10 : 693,977.70 = 496,823.10 : x
  2. Step 2: Convert to fraction form
    496,823.10/693,977.70 = 496,823.10/x
  3. Step 3: Cross multiply
    496,823.10x = 693,977.70 × 496,823.10
  4. Step 4: Simplify right side
    496,823.10x = 344,784,152,244.87
  5. Step 5: Solve for x
    x = 344,784,152,244.87/496,823.10
  6. Step 6: Final answer
    x = 693,977.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.