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Finding the Fourth Proportional to 295,877.93, 407,990.43 and 188,310.33

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Solution

The fourth proportional to 295,877.93, 407,990.43 and 188,310.33 is: 259,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,877.93 : 407,990.43 = 188,310.33 : x
  2. Step 2: Convert to fraction form
    295,877.93/407,990.43 = 188,310.33/x
  3. Step 3: Cross multiply
    295,877.93x = 407,990.43 × 188,310.33
  4. Step 4: Simplify right side
    295,877.93x = 76,828,812,510.14
  5. Step 5: Solve for x
    x = 76,828,812,510.14/295,877.93
  6. Step 6: Final answer
    x = 259,663.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.