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Finding the Fourth Proportional to 461,650.41, 692,234.40 and 208,810.11

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Solution

The fourth proportional to 461,650.41, 692,234.40 and 208,810.11 is: 313,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,650.41 : 692,234.40 = 208,810.11 : x
  2. Step 2: Convert to fraction form
    461,650.41/692,234.40 = 208,810.11/x
  3. Step 3: Cross multiply
    461,650.41x = 692,234.40 × 208,810.11
  4. Step 4: Simplify right side
    461,650.41x = 144,545,541,209.78
  5. Step 5: Solve for x
    x = 144,545,541,209.78/461,650.41
  6. Step 6: Final answer
    x = 313,106.06

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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.