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Finding the Fourth Proportional to 970,822.96, 1,456,890.24 and 339,742.24

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Solution

The fourth proportional to 970,822.96, 1,456,890.24 and 339,742.24 is: 509,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,822.96 : 1,456,890.24 = 339,742.24 : x
  2. Step 2: Convert to fraction form
    970,822.96/1,456,890.24 = 339,742.24/x
  3. Step 3: Cross multiply
    970,822.96x = 1,456,890.24 × 339,742.24
  4. Step 4: Simplify right side
    970,822.96x = 494,967,153,571.74
  5. Step 5: Solve for x
    x = 494,967,153,571.74/970,822.96
  6. Step 6: Final answer
    x = 509,842.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.