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Finding the Fourth Proportional to 773,608, 1,160,386.16 and 318,183.48

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Solution

The fourth proportional to 773,608, 1,160,386.16 and 318,183.48 is: 477,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,608 : 1,160,386.16 = 318,183.48 : x
  2. Step 2: Convert to fraction form
    773,608/1,160,386.16 = 318,183.48/x
  3. Step 3: Cross multiply
    773,608x = 1,160,386.16 × 318,183.48
  4. Step 4: Simplify right side
    773,608x = 369,215,706,532.64
  5. Step 5: Solve for x
    x = 369,215,706,532.64/773,608
  6. Step 6: Final answer
    x = 477,264.59

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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.