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Finding the Fourth Proportional to 471,169, 706,980.30 and 234,532.36

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Solution

The fourth proportional to 471,169, 706,980.30 and 234,532.36 is: 351,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,169 : 706,980.30 = 234,532.36 : x
  2. Step 2: Convert to fraction form
    471,169/706,980.30 = 234,532.36/x
  3. Step 3: Cross multiply
    471,169x = 706,980.30 × 234,532.36
  4. Step 4: Simplify right side
    471,169x = 165,809,758,232.51
  5. Step 5: Solve for x
    x = 165,809,758,232.51/471,169
  6. Step 6: Final answer
    x = 351,911.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.