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Finding the Fourth Proportional to 475,647.09, 656,392.77 and 260,782.58

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Solution

The fourth proportional to 475,647.09, 656,392.77 and 260,782.58 is: 359,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,647.09 : 656,392.77 = 260,782.58 : x
  2. Step 2: Convert to fraction form
    475,647.09/656,392.77 = 260,782.58/x
  3. Step 3: Cross multiply
    475,647.09x = 656,392.77 × 260,782.58
  4. Step 4: Simplify right side
    475,647.09x = 171,175,796,771.98
  5. Step 5: Solve for x
    x = 171,175,796,771.98/475,647.09
  6. Step 6: Final answer
    x = 359,879.84

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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.