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Finding the Fourth Proportional to 294,581.81, 406,525.64 and 167,260.14

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Solution

The fourth proportional to 294,581.81, 406,525.64 and 167,260.14 is: 230,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,581.81 : 406,525.64 = 167,260.14 : x
  2. Step 2: Convert to fraction form
    294,581.81/406,525.64 = 167,260.14/x
  3. Step 3: Cross multiply
    294,581.81x = 406,525.64 × 167,260.14
  4. Step 4: Simplify right side
    294,581.81x = 67,995,534,623.69
  5. Step 5: Solve for x
    x = 67,995,534,623.69/294,581.81
  6. Step 6: Final answer
    x = 230,820.55

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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.