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Finding the Fourth Proportional to 567,422.41, 783,042.73 and 312,777.85

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Solution

The fourth proportional to 567,422.41, 783,042.73 and 312,777.85 is: 431,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,422.41 : 783,042.73 = 312,777.85 : x
  2. Step 2: Convert to fraction form
    567,422.41/783,042.73 = 312,777.85/x
  3. Step 3: Cross multiply
    567,422.41x = 783,042.73 × 312,777.85
  4. Step 4: Simplify right side
    567,422.41x = 244,918,421,547.53
  5. Step 5: Solve for x
    x = 244,918,421,547.53/567,422.41
  6. Step 6: Final answer
    x = 431,633.33

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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.