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Finding the Fourth Proportional to 380,208.08, 524,680.80 and 210,438.56

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Solution

The fourth proportional to 380,208.08, 524,680.80 and 210,438.56 is: 290,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,208.08 : 524,680.80 = 210,438.56 : x
  2. Step 2: Convert to fraction form
    380,208.08/524,680.80 = 210,438.56/x
  3. Step 3: Cross multiply
    380,208.08x = 524,680.80 × 210,438.56
  4. Step 4: Simplify right side
    380,208.08x = 110,413,072,011.65
  5. Step 5: Solve for x
    x = 110,413,072,011.65/380,208.08
  6. Step 6: Final answer
    x = 290,401.70

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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.