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Finding the Fourth Proportional to 294,378.10, 406,218.61 and 167,053.69

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Solution

The fourth proportional to 294,378.10, 406,218.61 and 167,053.69 is: 230,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,378.10 : 406,218.61 = 167,053.69 : x
  2. Step 2: Convert to fraction form
    294,378.10/406,218.61 = 167,053.69/x
  3. Step 3: Cross multiply
    294,378.10x = 406,218.61 × 167,053.69
  4. Step 4: Simplify right side
    294,378.10x = 67,860,317,747.17
  5. Step 5: Solve for x
    x = 67,860,317,747.17/294,378.10
  6. Step 6: Final answer
    x = 230,520.94

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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.