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Finding the Fourth Proportional to 384,551.42, 530,691.90 and 214,796.48

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Solution

The fourth proportional to 384,551.42, 530,691.90 and 214,796.48 is: 296,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,551.42 : 530,691.90 = 214,796.48 : x
  2. Step 2: Convert to fraction form
    384,551.42/530,691.90 = 214,796.48/x
  3. Step 3: Cross multiply
    384,551.42x = 530,691.90 × 214,796.48
  4. Step 4: Simplify right side
    384,551.42x = 113,990,752,084.51
  5. Step 5: Solve for x
    x = 113,990,752,084.51/384,551.42
  6. Step 6: Final answer
    x = 296,425.25

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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.