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Finding the Fourth Proportional to 452,474.08, 678,798.56 and 171,969.48

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Solution

The fourth proportional to 452,474.08, 678,798.56 and 171,969.48 is: 257,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,474.08 : 678,798.56 = 171,969.48 : x
  2. Step 2: Convert to fraction form
    452,474.08/678,798.56 = 171,969.48/x
  3. Step 3: Cross multiply
    452,474.08x = 678,798.56 × 171,969.48
  4. Step 4: Simplify right side
    452,474.08x = 116,732,635,387.95
  5. Step 5: Solve for x
    x = 116,732,635,387.95/452,474.08
  6. Step 6: Final answer
    x = 257,987.45

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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.