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Finding the Fourth Proportional to 497,715.40, 746,573.10 and 459,224.20

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Solution

The fourth proportional to 497,715.40, 746,573.10 and 459,224.20 is: 688,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,715.40 : 746,573.10 = 459,224.20 : x
  2. Step 2: Convert to fraction form
    497,715.40/746,573.10 = 459,224.20/x
  3. Step 3: Cross multiply
    497,715.40x = 746,573.10 × 459,224.20
  4. Step 4: Simplify right side
    497,715.40x = 342,844,434,589.02
  5. Step 5: Solve for x
    x = 342,844,434,589.02/497,715.40
  6. Step 6: Final answer
    x = 688,836.30

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Similar ratio
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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.