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Finding the Fourth Proportional to 386,292.47, 533,073.77 and 214,207.70

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Solution

The fourth proportional to 386,292.47, 533,073.77 and 214,207.70 is: 295,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,292.47 : 533,073.77 = 214,207.70 : x
  2. Step 2: Convert to fraction form
    386,292.47/533,073.77 = 214,207.70/x
  3. Step 3: Cross multiply
    386,292.47x = 533,073.77 × 214,207.70
  4. Step 4: Simplify right side
    386,292.47x = 114,188,502,465.62
  5. Step 5: Solve for x
    x = 114,188,502,465.62/386,292.47
  6. Step 6: Final answer
    x = 295,601.16

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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.