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Finding the Fourth Proportional to 564,511.49, 778,671.52 and 334,906.22

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Solution

The fourth proportional to 564,511.49, 778,671.52 and 334,906.22 is: 461,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,511.49 : 778,671.52 = 334,906.22 : x
  2. Step 2: Convert to fraction form
    564,511.49/778,671.52 = 334,906.22/x
  3. Step 3: Cross multiply
    564,511.49x = 778,671.52 × 334,906.22
  4. Step 4: Simplify right side
    564,511.49x = 260,781,935,384.85
  5. Step 5: Solve for x
    x = 260,781,935,384.85/564,511.49
  6. Step 6: Final answer
    x = 461,960.37

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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.