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Finding the Fourth Proportional to 511,652.88, 767,639.16 and 174,701.52

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Solution

The fourth proportional to 511,652.88, 767,639.16 and 174,701.52 is: 262,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,652.88 : 767,639.16 = 174,701.52 : x
  2. Step 2: Convert to fraction form
    511,652.88/767,639.16 = 174,701.52/x
  3. Step 3: Cross multiply
    511,652.88x = 767,639.16 × 174,701.52
  4. Step 4: Simplify right side
    511,652.88x = 134,107,728,063.52
  5. Step 5: Solve for x
    x = 134,107,728,063.52/511,652.88
  6. Step 6: Final answer
    x = 262,106.86

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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.