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Finding the Fourth Proportional to 567,877.19, 783,642.26 and 313,221.83

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Solution

The fourth proportional to 567,877.19, 783,642.26 and 313,221.83 is: 432,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,877.19 : 783,642.26 = 313,221.83 : x
  2. Step 2: Convert to fraction form
    567,877.19/783,642.26 = 313,221.83/x
  3. Step 3: Cross multiply
    567,877.19x = 783,642.26 × 313,221.83
  4. Step 4: Simplify right side
    567,877.19x = 245,453,859,607.38
  5. Step 5: Solve for x
    x = 245,453,859,607.38/567,877.19
  6. Step 6: Final answer
    x = 432,230.54

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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.