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Finding the Fourth Proportional to 380,521.44, 525,100.32 and 208,437.12

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Solution

The fourth proportional to 380,521.44, 525,100.32 and 208,437.12 is: 287,632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,521.44 : 525,100.32 = 208,437.12 : x
  2. Step 2: Convert to fraction form
    380,521.44/525,100.32 = 208,437.12/x
  3. Step 3: Cross multiply
    380,521.44x = 525,100.32 × 208,437.12
  4. Step 4: Simplify right side
    380,521.44x = 109,450,398,411.88
  5. Step 5: Solve for x
    x = 109,450,398,411.88/380,521.44
  6. Step 6: Final answer
    x = 287,632.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.