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Finding the Fourth Proportional to 294,931, 407,004.30 and 167,606.68

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Solution

The fourth proportional to 294,931, 407,004.30 and 167,606.68 is: 231,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,931 : 407,004.30 = 167,606.68 : x
  2. Step 2: Convert to fraction form
    294,931/407,004.30 = 167,606.68/x
  3. Step 3: Cross multiply
    294,931x = 407,004.30 × 167,606.68
  4. Step 4: Simplify right side
    294,931x = 68,216,639,468.72
  5. Step 5: Solve for x
    x = 68,216,639,468.72/294,931
  6. Step 6: Final answer
    x = 231,296.95

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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.