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Finding the Fourth Proportional to 523,680.82, 722,680.14 and 297,326.32

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Solution

The fourth proportional to 523,680.82, 722,680.14 and 297,326.32 is: 410,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,680.82 : 722,680.14 = 297,326.32 : x
  2. Step 2: Convert to fraction form
    523,680.82/722,680.14 = 297,326.32/x
  3. Step 3: Cross multiply
    523,680.82x = 722,680.14 × 297,326.32
  4. Step 4: Simplify right side
    523,680.82x = 214,871,826,563.29
  5. Step 5: Solve for x
    x = 214,871,826,563.29/523,680.82
  6. Step 6: Final answer
    x = 410,310.67

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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.