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Finding the Fourth Proportional to 456,295.97, 629,498.16 and 262,657.35

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Solution

The fourth proportional to 456,295.97, 629,498.16 and 262,657.35 is: 362,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,295.97 : 629,498.16 = 262,657.35 : x
  2. Step 2: Convert to fraction form
    456,295.97/629,498.16 = 262,657.35/x
  3. Step 3: Cross multiply
    456,295.97x = 629,498.16 × 262,657.35
  4. Step 4: Simplify right side
    456,295.97x = 165,342,317,946.70
  5. Step 5: Solve for x
    x = 165,342,317,946.70/456,295.97
  6. Step 6: Final answer
    x = 362,357.61

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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.