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Finding the Fourth Proportional to 461,634, 692,540.78 and 177,303.75

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Solution

The fourth proportional to 461,634, 692,540.78 and 177,303.75 is: 265,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,634 : 692,540.78 = 177,303.75 : x
  2. Step 2: Convert to fraction form
    461,634/692,540.78 = 177,303.75/x
  3. Step 3: Cross multiply
    461,634x = 692,540.78 × 177,303.75
  4. Step 4: Simplify right side
    461,634x = 122,790,076,435.41
  5. Step 5: Solve for x
    x = 122,790,076,435.41/461,634
  6. Step 6: Final answer
    x = 265,990.11

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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.