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Finding the Fourth Proportional to 294,988.48, 407,119.02 and 167,683.20

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Solution

The fourth proportional to 294,988.48, 407,119.02 and 167,683.20 is: 231,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,988.48 : 407,119.02 = 167,683.20 : x
  2. Step 2: Convert to fraction form
    294,988.48/407,119.02 = 167,683.20/x
  3. Step 3: Cross multiply
    294,988.48x = 407,119.02 × 167,683.20
  4. Step 4: Simplify right side
    294,988.48x = 68,267,020,054.46
  5. Step 5: Solve for x
    x = 68,267,020,054.46/294,988.48
  6. Step 6: Final answer
    x = 231,422.66

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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.