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Finding the Fourth Proportional to 384,059.30, 530,001.50 and 214,293.42

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Solution

The fourth proportional to 384,059.30, 530,001.50 and 214,293.42 is: 295,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,059.30 : 530,001.50 = 214,293.42 : x
  2. Step 2: Convert to fraction form
    384,059.30/530,001.50 = 214,293.42/x
  3. Step 3: Cross multiply
    384,059.30x = 530,001.50 × 214,293.42
  4. Step 4: Simplify right side
    384,059.30x = 113,575,834,040.13
  5. Step 5: Solve for x
    x = 113,575,834,040.13/384,059.30
  6. Step 6: Final answer
    x = 295,724.73

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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.