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Finding the Fourth Proportional to 511,988.99, 767,954.72 and 157,002.03

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Solution

The fourth proportional to 511,988.99, 767,954.72 and 157,002.03 is: 235,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,988.99 : 767,954.72 = 157,002.03 : x
  2. Step 2: Convert to fraction form
    511,988.99/767,954.72 = 157,002.03/x
  3. Step 3: Cross multiply
    511,988.99x = 767,954.72 × 157,002.03
  4. Step 4: Simplify right side
    511,988.99x = 120,570,450,380.59
  5. Step 5: Solve for x
    x = 120,570,450,380.59/511,988.99
  6. Step 6: Final answer
    x = 235,494.23

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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.