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Finding the Fourth Proportional to 511,245.80, 766,868.70 and 470,810.60

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Solution

The fourth proportional to 511,245.80, 766,868.70 and 470,810.60 is: 706,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,245.80 : 766,868.70 = 470,810.60 : x
  2. Step 2: Convert to fraction form
    511,245.80/766,868.70 = 470,810.60/x
  3. Step 3: Cross multiply
    511,245.80x = 766,868.70 × 470,810.60
  4. Step 4: Simplify right side
    511,245.80x = 361,049,912,768.22
  5. Step 5: Solve for x
    x = 361,049,912,768.22/511,245.80
  6. Step 6: Final answer
    x = 706,215.90

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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.