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Finding the Fourth Proportional to 611,424.72, 843,767.74 and 339,493.12

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Solution

The fourth proportional to 611,424.72, 843,767.74 and 339,493.12 is: 468,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,424.72 : 843,767.74 = 339,493.12 : x
  2. Step 2: Convert to fraction form
    611,424.72/843,767.74 = 339,493.12/x
  3. Step 3: Cross multiply
    611,424.72x = 843,767.74 × 339,493.12
  4. Step 4: Simplify right side
    611,424.72x = 286,453,342,607.95
  5. Step 5: Solve for x
    x = 286,453,342,607.95/611,424.72
  6. Step 6: Final answer
    x = 468,501.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.