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Finding the Fourth Proportional to 471,139.84, 706,943.30 and 186,824.31

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Solution

The fourth proportional to 471,139.84, 706,943.30 and 186,824.31 is: 280,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,139.84 : 706,943.30 = 186,824.31 : x
  2. Step 2: Convert to fraction form
    471,139.84/706,943.30 = 186,824.31/x
  3. Step 3: Cross multiply
    471,139.84x = 706,943.30 × 186,824.31
  4. Step 4: Simplify right side
    471,139.84x = 132,074,190,646.46
  5. Step 5: Solve for x
    x = 132,074,190,646.46/471,139.84
  6. Step 6: Final answer
    x = 280,329.06

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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.