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Finding the Fourth Proportional to 386,445.64, 533,325.90 and 214,380.58

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Solution

The fourth proportional to 386,445.64, 533,325.90 and 214,380.58 is: 295,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,445.64 : 533,325.90 = 214,380.58 : x
  2. Step 2: Convert to fraction form
    386,445.64/533,325.90 = 214,380.58/x
  3. Step 3: Cross multiply
    386,445.64x = 533,325.90 × 214,380.58
  4. Step 4: Simplify right side
    386,445.64x = 114,334,715,771.02
  5. Step 5: Solve for x
    x = 114,334,715,771.02/386,445.64
  6. Step 6: Final answer
    x = 295,862.35

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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.