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Finding the Fourth Proportional to 921,948, 1,272,288.24 and 498,012

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Solution

The fourth proportional to 921,948, 1,272,288.24 and 498,012 is: 687,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,948 : 1,272,288.24 = 498,012 : x
  2. Step 2: Convert to fraction form
    921,948/1,272,288.24 = 498,012/x
  3. Step 3: Cross multiply
    921,948x = 1,272,288.24 × 498,012
  4. Step 4: Simplify right side
    921,948x = 633,614,810,978.88
  5. Step 5: Solve for x
    x = 633,614,810,978.88/921,948
  6. Step 6: Final answer
    x = 687,256.56

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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.