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Finding the Fourth Proportional to 396,848.76, 595,271.52 and 144,128.76

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Solution

The fourth proportional to 396,848.76, 595,271.52 and 144,128.76 is: 216,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,848.76 : 595,271.52 = 144,128.76 : x
  2. Step 2: Convert to fraction form
    396,848.76/595,271.52 = 144,128.76/x
  3. Step 3: Cross multiply
    396,848.76x = 595,271.52 × 144,128.76
  4. Step 4: Simplify right side
    396,848.76x = 85,795,746,040.92
  5. Step 5: Solve for x
    x = 85,795,746,040.92/396,848.76
  6. Step 6: Final answer
    x = 216,192.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.