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Finding the Fourth Proportional to 610,966.14, 843,064.85 and 339,045.49

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Solution

The fourth proportional to 610,966.14, 843,064.85 and 339,045.49 is: 467,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,966.14 : 843,064.85 = 339,045.49 : x
  2. Step 2: Convert to fraction form
    610,966.14/843,064.85 = 339,045.49/x
  3. Step 3: Cross multiply
    610,966.14x = 843,064.85 × 339,045.49
  4. Step 4: Simplify right side
    610,966.14x = 285,837,337,071.47
  5. Step 5: Solve for x
    x = 285,837,337,071.47/610,966.14
  6. Step 6: Final answer
    x = 467,844.81

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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.