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Finding the Fourth Proportional to 589,623.42, 813,578.31 and 347,887.74

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Solution

The fourth proportional to 589,623.42, 813,578.31 and 347,887.74 is: 480,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,623.42 : 813,578.31 = 347,887.74 : x
  2. Step 2: Convert to fraction form
    589,623.42/813,578.31 = 347,887.74/x
  3. Step 3: Cross multiply
    589,623.42x = 813,578.31 × 347,887.74
  4. Step 4: Simplify right side
    589,623.42x = 283,033,919,578.92
  5. Step 5: Solve for x
    x = 283,033,919,578.92/589,623.42
  6. Step 6: Final answer
    x = 480,024.89

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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.