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Finding the Fourth Proportional to 475,608.36, 656,339.36 and 260,743.80

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Solution

The fourth proportional to 475,608.36, 656,339.36 and 260,743.80 is: 359,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,608.36 : 656,339.36 = 260,743.80 : x
  2. Step 2: Convert to fraction form
    475,608.36/656,339.36 = 260,743.80/x
  3. Step 3: Cross multiply
    475,608.36x = 656,339.36 × 260,743.80
  4. Step 4: Simplify right side
    475,608.36x = 171,136,418,815.97
  5. Step 5: Solve for x
    x = 171,136,418,815.97/475,608.36
  6. Step 6: Final answer
    x = 359,826.35

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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.