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Finding the Fourth Proportional to 567,971.13, 783,787.55 and 313,322.25

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Solution

The fourth proportional to 567,971.13, 783,787.55 and 313,322.25 is: 432,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,971.13 : 783,787.55 = 313,322.25 : x
  2. Step 2: Convert to fraction form
    567,971.13/783,787.55 = 313,322.25/x
  3. Step 3: Cross multiply
    567,971.13x = 783,787.55 × 313,322.25
  4. Step 4: Simplify right side
    567,971.13x = 245,578,077,121.38
  5. Step 5: Solve for x
    x = 245,578,077,121.38/567,971.13
  6. Step 6: Final answer
    x = 432,377.75

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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.