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Finding the Fourth Proportional to 294,311.25, 406,162.86 and 173,457.63

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Solution

The fourth proportional to 294,311.25, 406,162.86 and 173,457.63 is: 239,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,311.25 : 406,162.86 = 173,457.63 : x
  2. Step 2: Convert to fraction form
    294,311.25/406,162.86 = 173,457.63/x
  3. Step 3: Cross multiply
    294,311.25x = 406,162.86 × 173,457.63
  4. Step 4: Simplify right side
    294,311.25x = 70,452,047,089.62
  5. Step 5: Solve for x
    x = 70,452,047,089.62/294,311.25
  6. Step 6: Final answer
    x = 239,379.39

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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.