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Finding the Fourth Proportional to 395,466.12, 545,744.88 and 214,180.20

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Solution

The fourth proportional to 395,466.12, 545,744.88 and 214,180.20 is: 295,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,466.12 : 545,744.88 = 214,180.20 : x
  2. Step 2: Convert to fraction form
    395,466.12/545,744.88 = 214,180.20/x
  3. Step 3: Cross multiply
    395,466.12x = 545,744.88 × 214,180.20
  4. Step 4: Simplify right side
    395,466.12x = 116,887,747,547.38
  5. Step 5: Solve for x
    x = 116,887,747,547.38/395,466.12
  6. Step 6: Final answer
    x = 295,569.56

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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.