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Finding the Fourth Proportional to 567,658.80, 783,370.44 and 313,007.76

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Solution

The fourth proportional to 567,658.80, 783,370.44 and 313,007.76 is: 431,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,658.80 : 783,370.44 = 313,007.76 : x
  2. Step 2: Convert to fraction form
    567,658.80/783,370.44 = 313,007.76/x
  3. Step 3: Cross multiply
    567,658.80x = 783,370.44 × 313,007.76
  4. Step 4: Simplify right side
    567,658.80x = 245,201,026,674.61
  5. Step 5: Solve for x
    x = 245,201,026,674.61/567,658.80
  6. Step 6: Final answer
    x = 431,951.42

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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.