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Finding the Fourth Proportional to 347,546, 480,007.14 and 234,171.92

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Solution

The fourth proportional to 347,546, 480,007.14 and 234,171.92 is: 323,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,546 : 480,007.14 = 234,171.92 : x
  2. Step 2: Convert to fraction form
    347,546/480,007.14 = 234,171.92/x
  3. Step 3: Cross multiply
    347,546x = 480,007.14 × 234,171.92
  4. Step 4: Simplify right side
    347,546x = 112,404,193,587.51
  5. Step 5: Solve for x
    x = 112,404,193,587.51/347,546
  6. Step 6: Final answer
    x = 323,422.49

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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.