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Finding the Fourth Proportional to 386,688.82, 533,636.32 and 214,617.87

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Solution

The fourth proportional to 386,688.82, 533,636.32 and 214,617.87 is: 296,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,688.82 : 533,636.32 = 214,617.87 : x
  2. Step 2: Convert to fraction form
    386,688.82/533,636.32 = 214,617.87/x
  3. Step 3: Cross multiply
    386,688.82x = 533,636.32 × 214,617.87
  4. Step 4: Simplify right side
    386,688.82x = 114,527,890,218.90
  5. Step 5: Solve for x
    x = 114,527,890,218.90/386,688.82
  6. Step 6: Final answer
    x = 296,175.85

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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.