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Finding the Fourth Proportional to 497,797.40, 746,696.10 and 409,223.90

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Solution

The fourth proportional to 497,797.40, 746,696.10 and 409,223.90 is: 613,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,797.40 : 746,696.10 = 409,223.90 : x
  2. Step 2: Convert to fraction form
    497,797.40/746,696.10 = 409,223.90/x
  3. Step 3: Cross multiply
    497,797.40x = 746,696.10 × 409,223.90
  4. Step 4: Simplify right side
    497,797.40x = 305,565,890,156.79
  5. Step 5: Solve for x
    x = 305,565,890,156.79/497,797.40
  6. Step 6: Final answer
    x = 613,835.85

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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.