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Finding the Fourth Proportional to 497,790.40, 746,685.60 and 409,216.90

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Solution

The fourth proportional to 497,790.40, 746,685.60 and 409,216.90 is: 613,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,790.40 : 746,685.60 = 409,216.90 : x
  2. Step 2: Convert to fraction form
    497,790.40/746,685.60 = 409,216.90/x
  3. Step 3: Cross multiply
    497,790.40x = 746,685.60 × 409,216.90
  4. Step 4: Simplify right side
    497,790.40x = 305,556,366,506.64
  5. Step 5: Solve for x
    x = 305,556,366,506.64/497,790.40
  6. Step 6: Final answer
    x = 613,825.35

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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.