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Finding the Fourth Proportional to 656,914.52, 906,687.16 and 427,071.76

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Solution

The fourth proportional to 656,914.52, 906,687.16 and 427,071.76 is: 589,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,914.52 : 906,687.16 = 427,071.76 : x
  2. Step 2: Convert to fraction form
    656,914.52/906,687.16 = 427,071.76/x
  3. Step 3: Cross multiply
    656,914.52x = 906,687.16 × 427,071.76
  4. Step 4: Simplify right side
    656,914.52x = 387,220,481,190.60
  5. Step 5: Solve for x
    x = 387,220,481,190.60/656,914.52
  6. Step 6: Final answer
    x = 589,453.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.