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Finding the Fourth Proportional to 386,383.46, 533,236.43 and 214,356.47

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Solution

The fourth proportional to 386,383.46, 533,236.43 and 214,356.47 is: 295,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,383.46 : 533,236.43 = 214,356.47 : x
  2. Step 2: Convert to fraction form
    386,383.46/533,236.43 = 214,356.47/x
  3. Step 3: Cross multiply
    386,383.46x = 533,236.43 × 214,356.47
  4. Step 4: Simplify right side
    386,383.46x = 114,302,676,679.91
  5. Step 5: Solve for x
    x = 114,302,676,679.91/386,383.46
  6. Step 6: Final answer
    x = 295,827.05

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1.5x scale

Why These Related Problems?

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