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Finding the Fourth Proportional to 319,000.82, 478,049.85 and 176,908.59

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Solution

The fourth proportional to 319,000.82, 478,049.85 and 176,908.59 is: 265,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,000.82 : 478,049.85 = 176,908.59 : x
  2. Step 2: Convert to fraction form
    319,000.82/478,049.85 = 176,908.59/x
  3. Step 3: Cross multiply
    319,000.82x = 478,049.85 × 176,908.59
  4. Step 4: Simplify right side
    319,000.82x = 84,571,124,913.21
  5. Step 5: Solve for x
    x = 84,571,124,913.21/319,000.82
  6. Step 6: Final answer
    x = 265,112.57

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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.