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Finding the Fourth Proportional to 567,491.64, 783,143.70 and 312,851.92

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Solution

The fourth proportional to 567,491.64, 783,143.70 and 312,851.92 is: 431,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,491.64 : 783,143.70 = 312,851.92 : x
  2. Step 2: Convert to fraction form
    567,491.64/783,143.70 = 312,851.92/x
  3. Step 3: Cross multiply
    567,491.64x = 783,143.70 × 312,851.92
  4. Step 4: Simplify right side
    567,491.64x = 245,008,010,180.90
  5. Step 5: Solve for x
    x = 245,008,010,180.90/567,491.64
  6. Step 6: Final answer
    x = 431,738.54

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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.