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Finding the Fourth Proportional to 319,145.10, 478,717.65 and 194,729.10

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Solution

The fourth proportional to 319,145.10, 478,717.65 and 194,729.10 is: 292,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,145.10 : 478,717.65 = 194,729.10 : x
  2. Step 2: Convert to fraction form
    319,145.10/478,717.65 = 194,729.10/x
  3. Step 3: Cross multiply
    319,145.10x = 478,717.65 × 194,729.10
  4. Step 4: Simplify right side
    319,145.10x = 93,220,257,138.62
  5. Step 5: Solve for x
    x = 93,220,257,138.62/319,145.10
  6. Step 6: Final answer
    x = 292,093.65

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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.