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Finding the Fourth Proportional to 476,767.74, 658,112.12 and 315,674.68

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Solution

The fourth proportional to 476,767.74, 658,112.12 and 315,674.68 is: 435,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,767.74 : 658,112.12 = 315,674.68 : x
  2. Step 2: Convert to fraction form
    476,767.74/658,112.12 = 315,674.68/x
  3. Step 3: Cross multiply
    476,767.74x = 658,112.12 × 315,674.68
  4. Step 4: Simplify right side
    476,767.74x = 207,749,336,142.23
  5. Step 5: Solve for x
    x = 207,749,336,142.23/476,767.74
  6. Step 6: Final answer
    x = 435,745.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.