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Finding the Fourth Proportional to 386,753.67, 533,709.77 and 214,671.13

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Solution

The fourth proportional to 386,753.67, 533,709.77 and 214,671.13 is: 296,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,753.67 : 533,709.77 = 214,671.13 : x
  2. Step 2: Convert to fraction form
    386,753.67/533,709.77 = 214,671.13/x
  3. Step 3: Cross multiply
    386,753.67x = 533,709.77 × 214,671.13
  4. Step 4: Simplify right side
    386,753.67x = 114,572,077,010.31
  5. Step 5: Solve for x
    x = 114,572,077,010.31/386,753.67
  6. Step 6: Final answer
    x = 296,240.44

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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.