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Finding the Fourth Proportional to 461,876.65, 637,365.41 and 260,659.69

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Solution

The fourth proportional to 461,876.65, 637,365.41 and 260,659.69 is: 359,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,876.65 : 637,365.41 = 260,659.69 : x
  2. Step 2: Convert to fraction form
    461,876.65/637,365.41 = 260,659.69/x
  3. Step 3: Cross multiply
    461,876.65x = 637,365.41 × 260,659.69
  4. Step 4: Simplify right side
    461,876.65x = 166,135,468,268.09
  5. Step 5: Solve for x
    x = 166,135,468,268.09/461,876.65
  6. Step 6: Final answer
    x = 359,696.62

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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.