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Finding the Fourth Proportional to 464,834.78, 641,445.03 and 260,866.65

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Solution

The fourth proportional to 464,834.78, 641,445.03 and 260,866.65 is: 359,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,834.78 : 641,445.03 = 260,866.65 : x
  2. Step 2: Convert to fraction form
    464,834.78/641,445.03 = 260,866.65/x
  3. Step 3: Cross multiply
    464,834.78x = 641,445.03 × 260,866.65
  4. Step 4: Simplify right side
    464,834.78x = 167,331,616,135.25
  5. Step 5: Solve for x
    x = 167,331,616,135.25/464,834.78
  6. Step 6: Final answer
    x = 359,980.84

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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.