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Finding the Fourth Proportional to 294,229.48, 406,066.58 and 173,409.70

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Solution

The fourth proportional to 294,229.48, 406,066.58 and 173,409.70 is: 239,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,229.48 : 406,066.58 = 173,409.70 : x
  2. Step 2: Convert to fraction form
    294,229.48/406,066.58 = 173,409.70/x
  3. Step 3: Cross multiply
    294,229.48x = 406,066.58 × 173,409.70
  4. Step 4: Simplify right side
    294,229.48x = 70,415,883,817.83
  5. Step 5: Solve for x
    x = 70,415,883,817.83/294,229.48
  6. Step 6: Final answer
    x = 239,323.01

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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.