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Finding the Fourth Proportional to 257,479.78, 386,219.91 and 146,438.50

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Solution

The fourth proportional to 257,479.78, 386,219.91 and 146,438.50 is: 219,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,479.78 : 386,219.91 = 146,438.50 : x
  2. Step 2: Convert to fraction form
    257,479.78/386,219.91 = 146,438.50/x
  3. Step 3: Cross multiply
    257,479.78x = 386,219.91 × 146,438.50
  4. Step 4: Simplify right side
    257,479.78x = 56,557,464,290.54
  5. Step 5: Solve for x
    x = 56,557,464,290.54/257,479.78
  6. Step 6: Final answer
    x = 219,657.89

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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.