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Finding the Fourth Proportional to 396,001.74, 546,484.83 and 214,712.07

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Solution

The fourth proportional to 396,001.74, 546,484.83 and 214,712.07 is: 296,303.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,001.74 : 546,484.83 = 214,712.07 : x
  2. Step 2: Convert to fraction form
    396,001.74/546,484.83 = 214,712.07/x
  3. Step 3: Cross multiply
    396,001.74x = 546,484.83 × 214,712.07
  4. Step 4: Simplify right side
    396,001.74x = 117,336,889,072.90
  5. Step 5: Solve for x
    x = 117,336,889,072.90/396,001.74
  6. Step 6: Final answer
    x = 296,303.97

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1.5x scale

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.