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Finding the Fourth Proportional to 280,400.79, 386,951.13 and 153,076.39

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Solution

The fourth proportional to 280,400.79, 386,951.13 and 153,076.39 is: 211,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,400.79 : 386,951.13 = 153,076.39 : x
  2. Step 2: Convert to fraction form
    280,400.79/386,951.13 = 153,076.39/x
  3. Step 3: Cross multiply
    280,400.79x = 386,951.13 × 153,076.39
  4. Step 4: Simplify right side
    280,400.79x = 59,233,080,354.06
  5. Step 5: Solve for x
    x = 59,233,080,354.06/280,400.79
  6. Step 6: Final answer
    x = 211,244.34

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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.