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Finding the Fourth Proportional to 461,650.91, 692,235.15 and 208,810.61

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Solution

The fourth proportional to 461,650.91, 692,235.15 and 208,810.61 is: 313,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,650.91 : 692,235.15 = 208,810.61 : x
  2. Step 2: Convert to fraction form
    461,650.91/692,235.15 = 208,810.61/x
  3. Step 3: Cross multiply
    461,650.91x = 692,235.15 × 208,810.61
  4. Step 4: Simplify right side
    461,650.91x = 144,546,043,934.94
  5. Step 5: Solve for x
    x = 144,546,043,934.94/461,650.91
  6. Step 6: Final answer
    x = 313,106.81

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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.