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Finding the Fourth Proportional to 294,364.83, 406,117.17 and 166,966.61

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Solution

The fourth proportional to 294,364.83, 406,117.17 and 166,966.61 is: 230,353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,364.83 : 406,117.17 = 166,966.61 : x
  2. Step 2: Convert to fraction form
    294,364.83/406,117.17 = 166,966.61/x
  3. Step 3: Cross multiply
    294,364.83x = 406,117.17 × 166,966.61
  4. Step 4: Simplify right side
    294,364.83x = 67,808,007,555.11
  5. Step 5: Solve for x
    x = 67,808,007,555.11/294,364.83
  6. Step 6: Final answer
    x = 230,353.63

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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.