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Finding the Fourth Proportional to 497,682.60, 746,523.90 and 409,036.20

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Solution

The fourth proportional to 497,682.60, 746,523.90 and 409,036.20 is: 613,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,682.60 : 746,523.90 = 409,036.20 : x
  2. Step 2: Convert to fraction form
    497,682.60/746,523.90 = 409,036.20/x
  3. Step 3: Cross multiply
    497,682.60x = 746,523.90 × 409,036.20
  4. Step 4: Simplify right side
    497,682.60x = 305,355,299,265.18
  5. Step 5: Solve for x
    x = 305,355,299,265.18/497,682.60
  6. Step 6: Final answer
    x = 613,554.30

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1.5x scale

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.