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Finding the Fourth Proportional to 294,689.94, 406,720.86 and 173,860.76

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Solution

The fourth proportional to 294,689.94, 406,720.86 and 173,860.76 is: 239,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,689.94 : 406,720.86 = 173,860.76 : x
  2. Step 2: Convert to fraction form
    294,689.94/406,720.86 = 173,860.76/x
  3. Step 3: Cross multiply
    294,689.94x = 406,720.86 × 173,860.76
  4. Step 4: Simplify right side
    294,689.94x = 70,712,797,827.45
  5. Step 5: Solve for x
    x = 70,712,797,827.45/294,689.94
  6. Step 6: Final answer
    x = 239,956.61

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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.