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Finding the Fourth Proportional to 1,065,748.80, 1,598,623.20 and 827,803.20

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Solution

The fourth proportional to 1,065,748.80, 1,598,623.20 and 827,803.20 is: 1,241,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,748.80 : 1,598,623.20 = 827,803.20 : x
  2. Step 2: Convert to fraction form
    1,065,748.80/1,598,623.20 = 827,803.20/x
  3. Step 3: Cross multiply
    1,065,748.80x = 1,598,623.20 × 827,803.20
  4. Step 4: Simplify right side
    1,065,748.80x = 1,323,345,400,554.24
  5. Step 5: Solve for x
    x = 1,323,345,400,554.24/1,065,748.80
  6. Step 6: Final answer
    x = 1,241,704.80

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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.