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Finding the Fourth Proportional to 277,888.31, 417,390.45 and 165,787.24

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Solution

The fourth proportional to 277,888.31, 417,390.45 and 165,787.24 is: 249,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,888.31 : 417,390.45 = 165,787.24 : x
  2. Step 2: Convert to fraction form
    277,888.31/417,390.45 = 165,787.24/x
  3. Step 3: Cross multiply
    277,888.31x = 417,390.45 × 165,787.24
  4. Step 4: Simplify right side
    277,888.31x = 69,198,010,707.86
  5. Step 5: Solve for x
    x = 69,198,010,707.86/277,888.31
  6. Step 6: Final answer
    x = 249,013.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.