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Finding the Fourth Proportional to 767,985.60, 1,151,978.40 and 711,998.40

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Solution

The fourth proportional to 767,985.60, 1,151,978.40 and 711,998.40 is: 1,067,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,985.60 : 1,151,978.40 = 711,998.40 : x
  2. Step 2: Convert to fraction form
    767,985.60/1,151,978.40 = 711,998.40/x
  3. Step 3: Cross multiply
    767,985.60x = 1,151,978.40 × 711,998.40
  4. Step 4: Simplify right side
    767,985.60x = 820,206,777,634.56
  5. Step 5: Solve for x
    x = 820,206,777,634.56/767,985.60
  6. Step 6: Final answer
    x = 1,067,997.60

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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.