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Finding the Fourth Proportional to 593,420, 890,241.60 and 238,462.16

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Solution

The fourth proportional to 593,420, 890,241.60 and 238,462.16 is: 357,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,420 : 890,241.60 = 238,462.16 : x
  2. Step 2: Convert to fraction form
    593,420/890,241.60 = 238,462.16/x
  3. Step 3: Cross multiply
    593,420x = 890,241.60 × 238,462.16
  4. Step 4: Simplify right side
    593,420x = 212,288,934,857.86
  5. Step 5: Solve for x
    x = 212,288,934,857.86/593,420
  6. Step 6: Final answer
    x = 357,738.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.