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Finding the Fourth Proportional to 280,406.79, 386,959.38 and 153,082.38

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Solution

The fourth proportional to 280,406.79, 386,959.38 and 153,082.38 is: 211,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,406.79 : 386,959.38 = 153,082.38 : x
  2. Step 2: Convert to fraction form
    280,406.79/386,959.38 = 153,082.38/x
  3. Step 3: Cross multiply
    280,406.79x = 386,959.38 × 153,082.38
  4. Step 4: Simplify right side
    280,406.79x = 59,236,662,853.72
  5. Step 5: Solve for x
    x = 59,236,662,853.72/280,406.79
  6. Step 6: Final answer
    x = 211,252.60

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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.