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Finding the Fourth Proportional to 497,682.60, 746,523.90 and 272,956.20

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Solution

The fourth proportional to 497,682.60, 746,523.90 and 272,956.20 is: 409,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,682.60 : 746,523.90 = 272,956.20 : x
  2. Step 2: Convert to fraction form
    497,682.60/746,523.90 = 272,956.20/x
  3. Step 3: Cross multiply
    497,682.60x = 746,523.90 × 272,956.20
  4. Step 4: Simplify right side
    497,682.60x = 203,768,326,953.18
  5. Step 5: Solve for x
    x = 203,768,326,953.18/497,682.60
  6. Step 6: Final answer
    x = 409,434.30

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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.