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Finding the Fourth Proportional to 393,366.38, 542,852.08 and 214,518.38

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Solution

The fourth proportional to 393,366.38, 542,852.08 and 214,518.38 is: 296,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,366.38 : 542,852.08 = 214,518.38 : x
  2. Step 2: Convert to fraction form
    393,366.38/542,852.08 = 214,518.38/x
  3. Step 3: Cross multiply
    393,366.38x = 542,852.08 × 214,518.38
  4. Step 4: Simplify right side
    393,366.38x = 116,451,745,530.67
  5. Step 5: Solve for x
    x = 116,451,745,530.67/393,366.38
  6. Step 6: Final answer
    x = 296,038.89

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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.