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Finding the Fourth Proportional to 310,316.09, 465,510.59 and 110,664.86

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Solution

The fourth proportional to 310,316.09, 465,510.59 and 110,664.86 is: 166,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,316.09 : 465,510.59 = 110,664.86 : x
  2. Step 2: Convert to fraction form
    310,316.09/465,510.59 = 110,664.86/x
  3. Step 3: Cross multiply
    310,316.09x = 465,510.59 × 110,664.86
  4. Step 4: Simplify right side
    310,316.09x = 51,515,663,717.54
  5. Step 5: Solve for x
    x = 51,515,663,717.54/310,316.09
  6. Step 6: Final answer
    x = 166,010.29

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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.