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Finding the Fourth Proportional to 387,026.00, 534,097.16 and 214,944.40

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Solution

The fourth proportional to 387,026.00, 534,097.16 and 214,944.40 is: 296,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,026.00 : 534,097.16 = 214,944.40 : x
  2. Step 2: Convert to fraction form
    387,026.00/534,097.16 = 214,944.40/x
  3. Step 3: Cross multiply
    387,026.00x = 534,097.16 × 214,944.40
  4. Step 4: Simplify right side
    387,026.00x = 114,801,193,996.85
  5. Step 5: Solve for x
    x = 114,801,193,996.85/387,026.00
  6. Step 6: Final answer
    x = 296,623.98

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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.