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Finding the Fourth Proportional to 294,280.64, 406,079.18 and 165,189.54

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Solution

The fourth proportional to 294,280.64, 406,079.18 and 165,189.54 is: 227,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,280.64 : 406,079.18 = 165,189.54 : x
  2. Step 2: Convert to fraction form
    294,280.64/406,079.18 = 165,189.54/x
  3. Step 3: Cross multiply
    294,280.64x = 406,079.18 × 165,189.54
  4. Step 4: Simplify right side
    294,280.64x = 67,080,032,947.78
  5. Step 5: Solve for x
    x = 67,080,032,947.78/294,280.64
  6. Step 6: Final answer
    x = 227,945.79

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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.