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Finding the Fourth Proportional to 464,833.78, 641,443.66 and 260,865.65

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Solution

The fourth proportional to 464,833.78, 641,443.66 and 260,865.65 is: 359,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,833.78 : 641,443.66 = 260,865.65 : x
  2. Step 2: Convert to fraction form
    464,833.78/641,443.66 = 260,865.65/x
  3. Step 3: Cross multiply
    464,833.78x = 641,443.66 × 260,865.65
  4. Step 4: Simplify right side
    464,833.78x = 167,330,615,999.95
  5. Step 5: Solve for x
    x = 167,330,615,999.95/464,833.78
  6. Step 6: Final answer
    x = 359,979.47

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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.