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Finding the Fourth Proportional to 461,696.88, 692,668.20 and 146,160.24

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Solution

The fourth proportional to 461,696.88, 692,668.20 and 146,160.24 is: 219,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,696.88 : 692,668.20 = 146,160.24 : x
  2. Step 2: Convert to fraction form
    461,696.88/692,668.20 = 146,160.24/x
  3. Step 3: Cross multiply
    461,696.88x = 692,668.20 × 146,160.24
  4. Step 4: Simplify right side
    461,696.88x = 101,240,550,352.37
  5. Step 5: Solve for x
    x = 101,240,550,352.37/461,696.88
  6. Step 6: Final answer
    x = 219,279.26

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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.