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Finding the Fourth Proportional to 310,196.77, 465,693.62 and 239,164.54

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Solution

The fourth proportional to 310,196.77, 465,693.62 and 239,164.54 is: 359,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,196.77 : 465,693.62 = 239,164.54 : x
  2. Step 2: Convert to fraction form
    310,196.77/465,693.62 = 239,164.54/x
  3. Step 3: Cross multiply
    310,196.77x = 465,693.62 × 239,164.54
  4. Step 4: Simplify right side
    310,196.77x = 111,377,398,048.18
  5. Step 5: Solve for x
    x = 111,377,398,048.18/310,196.77
  6. Step 6: Final answer
    x = 359,054.03

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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.