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Finding the Fourth Proportional to 511,609.86, 767,307.67 and 151,784.12

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Solution

The fourth proportional to 511,609.86, 767,307.67 and 151,784.12 is: 227,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,609.86 : 767,307.67 = 151,784.12 : x
  2. Step 2: Convert to fraction form
    511,609.86/767,307.67 = 151,784.12/x
  3. Step 3: Cross multiply
    511,609.86x = 767,307.67 × 151,784.12
  4. Step 4: Simplify right side
    511,609.86x = 116,465,120,999.01
  5. Step 5: Solve for x
    x = 116,465,120,999.01/511,609.86
  6. Step 6: Final answer
    x = 227,644.40

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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.