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Finding the Fourth Proportional to 497,987, 687,246.36 and 280,263.68

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Solution

The fourth proportional to 497,987, 687,246.36 and 280,263.68 is: 386,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,987 : 687,246.36 = 280,263.68 : x
  2. Step 2: Convert to fraction form
    497,987/687,246.36 = 280,263.68/x
  3. Step 3: Cross multiply
    497,987x = 687,246.36 × 280,263.68
  4. Step 4: Simplify right side
    497,987x = 192,610,193,920.21
  5. Step 5: Solve for x
    x = 192,610,193,920.21/497,987
  6. Step 6: Final answer
    x = 386,777.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.