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Finding the Fourth Proportional to 294,990.91, 407,083.65 and 167,658.10

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Solution

The fourth proportional to 294,990.91, 407,083.65 and 167,658.10 is: 231,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,990.91 : 407,083.65 = 167,658.10 : x
  2. Step 2: Convert to fraction form
    294,990.91/407,083.65 = 167,658.10/x
  3. Step 3: Cross multiply
    294,990.91x = 407,083.65 × 167,658.10
  4. Step 4: Simplify right side
    294,990.91x = 68,250,871,300.07
  5. Step 5: Solve for x
    x = 68,250,871,300.07/294,990.91
  6. Step 6: Final answer
    x = 231,366.01

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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.