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Finding the Fourth Proportional to 511,996.50, 767,965.98 and 157,009.53

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Solution

The fourth proportional to 511,996.50, 767,965.98 and 157,009.53 is: 235,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,996.50 : 767,965.98 = 157,009.53 : x
  2. Step 2: Convert to fraction form
    511,996.50/767,965.98 = 157,009.53/x
  3. Step 3: Cross multiply
    511,996.50x = 767,965.98 × 157,009.53
  4. Step 4: Simplify right side
    511,996.50x = 120,577,977,575.79
  5. Step 5: Solve for x
    x = 120,577,977,575.79/511,996.50
  6. Step 6: Final answer
    x = 235,505.47

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1.5x scale

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.