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Finding the Fourth Proportional to 328,933.50, 493,478.25 and 107,317.50

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Solution

The fourth proportional to 328,933.50, 493,478.25 and 107,317.50 is: 161,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,933.50 : 493,478.25 = 107,317.50 : x
  2. Step 2: Convert to fraction form
    328,933.50/493,478.25 = 107,317.50/x
  3. Step 3: Cross multiply
    328,933.50x = 493,478.25 × 107,317.50
  4. Step 4: Simplify right side
    328,933.50x = 52,958,852,094.38
  5. Step 5: Solve for x
    x = 52,958,852,094.38/328,933.50
  6. Step 6: Final answer
    x = 161,001.70

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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.