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Finding the Fourth Proportional to 567,517.37, 783,179.31 and 312,877.67

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Solution

The fourth proportional to 567,517.37, 783,179.31 and 312,877.67 is: 431,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,517.37 : 783,179.31 = 312,877.67 : x
  2. Step 2: Convert to fraction form
    567,517.37/783,179.31 = 312,877.67/x
  3. Step 3: Cross multiply
    567,517.37x = 783,179.31 × 312,877.67
  4. Step 4: Simplify right side
    567,517.37x = 245,039,314,962.40
  5. Step 5: Solve for x
    x = 245,039,314,962.40/567,517.37
  6. Step 6: Final answer
    x = 431,774.13

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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.