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Finding the Fourth Proportional to 379,578.32, 523,478.76 and 314,945.18

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Solution

The fourth proportional to 379,578.32, 523,478.76 and 314,945.18 is: 434,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,578.32 : 523,478.76 = 314,945.18 : x
  2. Step 2: Convert to fraction form
    379,578.32/523,478.76 = 314,945.18/x
  3. Step 3: Cross multiply
    379,578.32x = 523,478.76 × 314,945.18
  4. Step 4: Simplify right side
    379,578.32x = 164,867,112,294.38
  5. Step 5: Solve for x
    x = 164,867,112,294.38/379,578.32
  6. Step 6: Final answer
    x = 434,342.81

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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.