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Finding the Fourth Proportional to 611,460, 843,894.72 and 343,188

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Solution

The fourth proportional to 611,460, 843,894.72 and 343,188 is: 473,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,460 : 843,894.72 = 343,188 : x
  2. Step 2: Convert to fraction form
    611,460/843,894.72 = 343,188/x
  3. Step 3: Cross multiply
    611,460x = 843,894.72 × 343,188
  4. Step 4: Simplify right side
    611,460x = 289,614,541,167.36
  5. Step 5: Solve for x
    x = 289,614,541,167.36/611,460
  6. Step 6: Final answer
    x = 473,644.30

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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.