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Finding the Fourth Proportional to 464,878.42, 641,482.92 and 260,951.78

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Solution

The fourth proportional to 464,878.42, 641,482.92 and 260,951.78 is: 360,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,878.42 : 641,482.92 = 260,951.78 : x
  2. Step 2: Convert to fraction form
    464,878.42/641,482.92 = 260,951.78/x
  3. Step 3: Cross multiply
    464,878.42x = 641,482.92 × 260,951.78
  4. Step 4: Simplify right side
    464,878.42x = 167,396,108,726.37
  5. Step 5: Solve for x
    x = 167,396,108,726.37/464,878.42
  6. Step 6: Final answer
    x = 360,085.78

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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.