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Finding the Fourth Proportional to 702,074.54, 968,469.15 and 430,274.14

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Solution

The fourth proportional to 702,074.54, 968,469.15 and 430,274.14 is: 593,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,074.54 : 968,469.15 = 430,274.14 : x
  2. Step 2: Convert to fraction form
    702,074.54/968,469.15 = 430,274.14/x
  3. Step 3: Cross multiply
    702,074.54x = 968,469.15 × 430,274.14
  4. Step 4: Simplify right side
    702,074.54x = 416,707,230,632.78
  5. Step 5: Solve for x
    x = 416,707,230,632.78/702,074.54
  6. Step 6: Final answer
    x = 593,537.02

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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.