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Finding the Fourth Proportional to 318,995.82, 478,042.34 and 176,903.60

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Solution

The fourth proportional to 318,995.82, 478,042.34 and 176,903.60 is: 265,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,995.82 : 478,042.34 = 176,903.60 : x
  2. Step 2: Convert to fraction form
    318,995.82/478,042.34 = 176,903.60/x
  3. Step 3: Cross multiply
    318,995.82x = 478,042.34 × 176,903.60
  4. Step 4: Simplify right side
    318,995.82x = 84,567,410,898.42
  5. Step 5: Solve for x
    x = 84,567,410,898.42/318,995.82
  6. Step 6: Final answer
    x = 265,105.08

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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.