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Finding the Fourth Proportional to 387,665, 534,967.96 and 215,583.20

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Solution

The fourth proportional to 387,665, 534,967.96 and 215,583.20 is: 297,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,665 : 534,967.96 = 215,583.20 : x
  2. Step 2: Convert to fraction form
    387,665/534,967.96 = 215,583.20/x
  3. Step 3: Cross multiply
    387,665x = 534,967.96 × 215,583.20
  4. Step 4: Simplify right side
    387,665x = 115,330,104,714.27
  5. Step 5: Solve for x
    x = 115,330,104,714.27/387,665
  6. Step 6: Final answer
    x = 297,499.40

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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.