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Finding the Fourth Proportional to 380,380.08, 524,940.88 and 210,614.16

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Solution

The fourth proportional to 380,380.08, 524,940.88 and 210,614.16 is: 290,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,380.08 : 524,940.88 = 210,614.16 : x
  2. Step 2: Convert to fraction form
    380,380.08/524,940.88 = 210,614.16/x
  3. Step 3: Cross multiply
    380,380.08x = 524,940.88 × 210,614.16
  4. Step 4: Simplify right side
    380,380.08x = 110,559,982,490.86
  5. Step 5: Solve for x
    x = 110,559,982,490.86/380,380.08
  6. Step 6: Final answer
    x = 290,656.60

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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.