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Finding the Fourth Proportional to 921,648, 1,271,874.24 and 497,712

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Solution

The fourth proportional to 921,648, 1,271,874.24 and 497,712 is: 686,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,648 : 1,271,874.24 = 497,712 : x
  2. Step 2: Convert to fraction form
    921,648/1,271,874.24 = 497,712/x
  3. Step 3: Cross multiply
    921,648x = 1,271,874.24 × 497,712
  4. Step 4: Simplify right side
    921,648x = 633,027,071,738.88
  5. Step 5: Solve for x
    x = 633,027,071,738.88/921,648
  6. Step 6: Final answer
    x = 686,842.56

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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.