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Finding the Fourth Proportional to 471,024.63, 706,836.65 and 171,476.10

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Solution

The fourth proportional to 471,024.63, 706,836.65 and 171,476.10 is: 257,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,024.63 : 706,836.65 = 171,476.10 : x
  2. Step 2: Convert to fraction form
    471,024.63/706,836.65 = 171,476.10/x
  3. Step 3: Cross multiply
    471,024.63x = 706,836.65 × 171,476.10
  4. Step 4: Simplify right side
    471,024.63x = 121,205,591,221.69
  5. Step 5: Solve for x
    x = 121,205,591,221.69/471,024.63
  6. Step 6: Final answer
    x = 257,323.26

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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.