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Finding the Fourth Proportional to 319,165.80, 478,748.70 and 186,196.20

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Solution

The fourth proportional to 319,165.80, 478,748.70 and 186,196.20 is: 279,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,165.80 : 478,748.70 = 186,196.20 : x
  2. Step 2: Convert to fraction form
    319,165.80/478,748.70 = 186,196.20/x
  3. Step 3: Cross multiply
    319,165.80x = 478,748.70 × 186,196.20
  4. Step 4: Simplify right side
    319,165.80x = 89,141,188,694.94
  5. Step 5: Solve for x
    x = 89,141,188,694.94/319,165.80
  6. Step 6: Final answer
    x = 279,294.30

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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.