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Finding the Fourth Proportional to 396,237.02, 546,807.11 and 214,948.08

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Solution

The fourth proportional to 396,237.02, 546,807.11 and 214,948.08 is: 296,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,237.02 : 546,807.11 = 214,948.08 : x
  2. Step 2: Convert to fraction form
    396,237.02/546,807.11 = 214,948.08/x
  3. Step 3: Cross multiply
    396,237.02x = 546,807.11 × 214,948.08
  4. Step 4: Simplify right side
    396,237.02x = 117,535,137,350.11
  5. Step 5: Solve for x
    x = 117,535,137,350.11/396,237.02
  6. Step 6: Final answer
    x = 296,628.36

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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.