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Finding the Fourth Proportional to 471,193.31, 706,786.72 and 190,706.51

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Solution

The fourth proportional to 471,193.31, 706,786.72 and 190,706.51 is: 286,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,193.31 : 706,786.72 = 190,706.51 : x
  2. Step 2: Convert to fraction form
    471,193.31/706,786.72 = 190,706.51/x
  3. Step 3: Cross multiply
    471,193.31x = 706,786.72 × 190,706.51
  4. Step 4: Simplify right side
    471,193.31x = 134,788,824,674.85
  5. Step 5: Solve for x
    x = 134,788,824,674.85/471,193.31
  6. Step 6: Final answer
    x = 286,058.45

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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.