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Finding the Fourth Proportional to 294,377.60, 406,294.11 and 173,511.83

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Solution

The fourth proportional to 294,377.60, 406,294.11 and 173,511.83 is: 239,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,377.60 : 406,294.11 = 173,511.83 : x
  2. Step 2: Convert to fraction form
    294,377.60/406,294.11 = 173,511.83/x
  3. Step 3: Cross multiply
    294,377.60x = 406,294.11 × 173,511.83
  4. Step 4: Simplify right side
    294,377.60x = 70,496,835,560.06
  5. Step 5: Solve for x
    x = 70,496,835,560.06/294,377.60
  6. Step 6: Final answer
    x = 239,477.58

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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.