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Finding the Fourth Proportional to 386,804.57, 533,781.90 and 214,712.58

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Solution

The fourth proportional to 386,804.57, 533,781.90 and 214,712.58 is: 296,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,804.57 : 533,781.90 = 214,712.58 : x
  2. Step 2: Convert to fraction form
    386,804.57/533,781.90 = 214,712.58/x
  3. Step 3: Cross multiply
    386,804.57x = 533,781.90 × 214,712.58
  4. Step 4: Simplify right side
    386,804.57x = 114,609,688,906.30
  5. Step 5: Solve for x
    x = 114,609,688,906.30/386,804.57
  6. Step 6: Final answer
    x = 296,298.70

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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.