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Finding the Fourth Proportional to 319,465.58, 479,147.54 and 106,215.76

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Solution

The fourth proportional to 319,465.58, 479,147.54 and 106,215.76 is: 159,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,465.58 : 479,147.54 = 106,215.76 : x
  2. Step 2: Convert to fraction form
    319,465.58/479,147.54 = 106,215.76/x
  3. Step 3: Cross multiply
    319,465.58x = 479,147.54 × 106,215.76
  4. Step 4: Simplify right side
    319,465.58x = 50,893,020,113.23
  5. Step 5: Solve for x
    x = 50,893,020,113.23/319,465.58
  6. Step 6: Final answer
    x = 159,306.74

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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.