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Finding the Fourth Proportional to 511,586.94, 767,459.23 and 174,549.02

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Solution

The fourth proportional to 511,586.94, 767,459.23 and 174,549.02 is: 261,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,586.94 : 767,459.23 = 174,549.02 : x
  2. Step 2: Convert to fraction form
    511,586.94/767,459.23 = 174,549.02/x
  3. Step 3: Cross multiply
    511,586.94x = 767,459.23 × 174,549.02
  4. Step 4: Simplify right side
    511,586.94x = 133,959,258,121.11
  5. Step 5: Solve for x
    x = 133,959,258,121.11/511,586.94
  6. Step 6: Final answer
    x = 261,850.43

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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.