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Finding the Fourth Proportional to 475,795.29, 713,840.90 and 155,949.96

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Solution

The fourth proportional to 475,795.29, 713,840.90 and 155,949.96 is: 233,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,795.29 : 713,840.90 = 155,949.96 : x
  2. Step 2: Convert to fraction form
    475,795.29/713,840.90 = 155,949.96/x
  3. Step 3: Cross multiply
    475,795.29x = 713,840.90 × 155,949.96
  4. Step 4: Simplify right side
    475,795.29x = 111,323,458,560.38
  5. Step 5: Solve for x
    x = 111,323,458,560.38/475,795.29
  6. Step 6: Final answer
    x = 233,973.43

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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.