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Finding the Fourth Proportional to 567,506.38, 783,164.26 and 312,866.68

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Solution

The fourth proportional to 567,506.38, 783,164.26 and 312,866.68 is: 431,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,506.38 : 783,164.26 = 312,866.68 : x
  2. Step 2: Convert to fraction form
    567,506.38/783,164.26 = 312,866.68/x
  3. Step 3: Cross multiply
    567,506.38x = 783,164.26 × 312,866.68
  4. Step 4: Simplify right side
    567,506.38x = 245,026,001,920.86
  5. Step 5: Solve for x
    x = 245,026,001,920.86/567,506.38
  6. Step 6: Final answer
    x = 431,759.03

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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.