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Finding the Fourth Proportional to 384,463.48, 530,560.74 and 214,704.04

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Solution

The fourth proportional to 384,463.48, 530,560.74 and 214,704.04 is: 296,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,463.48 : 530,560.74 = 214,704.04 : x
  2. Step 2: Convert to fraction form
    384,463.48/530,560.74 = 214,704.04/x
  3. Step 3: Cross multiply
    384,463.48x = 530,560.74 × 214,704.04
  4. Step 4: Simplify right side
    384,463.48x = 113,913,534,343.39
  5. Step 5: Solve for x
    x = 113,913,534,343.39/384,463.48
  6. Step 6: Final answer
    x = 296,292.21

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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.