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Finding the Fourth Proportional to 511,814.93, 767,694.69 and 156,830.00

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Solution

The fourth proportional to 511,814.93, 767,694.69 and 156,830.00 is: 235,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,814.93 : 767,694.69 = 156,830.00 : x
  2. Step 2: Convert to fraction form
    511,814.93/767,694.69 = 156,830.00/x
  3. Step 3: Cross multiply
    511,814.93x = 767,694.69 × 156,830.00
  4. Step 4: Simplify right side
    511,814.93x = 120,397,554,394.23
  5. Step 5: Solve for x
    x = 120,397,554,394.23/511,814.93
  6. Step 6: Final answer
    x = 235,236.51

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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.