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Finding the Fourth Proportional to 511,661.38, 767,651.92 and 174,710.02

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Solution

The fourth proportional to 511,661.38, 767,651.92 and 174,710.02 is: 262,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,661.38 : 767,651.92 = 174,710.02 : x
  2. Step 2: Convert to fraction form
    511,661.38/767,651.92 = 174,710.02/x
  3. Step 3: Cross multiply
    511,661.38x = 767,651.92 × 174,710.02
  4. Step 4: Simplify right side
    511,661.38x = 134,116,482,296.24
  5. Step 5: Solve for x
    x = 134,116,482,296.24/511,661.38
  6. Step 6: Final answer
    x = 262,119.61

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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.