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Finding the Fourth Proportional to 471,541.07, 706,914.86 and 205,100.91

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Solution

The fourth proportional to 471,541.07, 706,914.86 and 205,100.91 is: 307,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,541.07 : 706,914.86 = 205,100.91 : x
  2. Step 2: Convert to fraction form
    471,541.07/706,914.86 = 205,100.91/x
  3. Step 3: Cross multiply
    471,541.07x = 706,914.86 × 205,100.91
  4. Step 4: Simplify right side
    471,541.07x = 144,988,880,053.02
  5. Step 5: Solve for x
    x = 144,988,880,053.02/471,541.07
  6. Step 6: Final answer
    x = 307,478.79

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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.