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Finding the Fourth Proportional to 294,406.09, 406,301.40 and 167,089.88

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Solution

The fourth proportional to 294,406.09, 406,301.40 and 167,089.88 is: 230,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,406.09 : 406,301.40 = 167,089.88 : x
  2. Step 2: Convert to fraction form
    294,406.09/406,301.40 = 167,089.88/x
  3. Step 3: Cross multiply
    294,406.09x = 406,301.40 × 167,089.88
  4. Step 4: Simplify right side
    294,406.09x = 67,888,852,169.83
  5. Step 5: Solve for x
    x = 67,888,852,169.83/294,406.09
  6. Step 6: Final answer
    x = 230,595.95

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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.