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Finding the Fourth Proportional to 395,966.17, 546,431.59 and 214,677.54

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Solution

The fourth proportional to 395,966.17, 546,431.59 and 214,677.54 is: 296,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,966.17 : 546,431.59 = 214,677.54 : x
  2. Step 2: Convert to fraction form
    395,966.17/546,431.59 = 214,677.54/x
  3. Step 3: Cross multiply
    395,966.17x = 546,431.59 × 214,677.54
  4. Step 4: Simplify right side
    395,966.17x = 117,306,590,391.62
  5. Step 5: Solve for x
    x = 117,306,590,391.62/395,966.17
  6. Step 6: Final answer
    x = 296,254.07

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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.