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Finding the Fourth Proportional to 386,753.64, 533,709.78 and 214,671.12

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Solution

The fourth proportional to 386,753.64, 533,709.78 and 214,671.12 is: 296,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,753.64 : 533,709.78 = 214,671.12 : x
  2. Step 2: Convert to fraction form
    386,753.64/533,709.78 = 214,671.12/x
  3. Step 3: Cross multiply
    386,753.64x = 533,709.78 × 214,671.12
  4. Step 4: Simplify right side
    386,753.64x = 114,572,073,421.13
  5. Step 5: Solve for x
    x = 114,572,073,421.13/386,753.64
  6. Step 6: Final answer
    x = 296,240.45

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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.