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Finding the Fourth Proportional to 605,133, 906,604.56 and 435,736.20

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Solution

The fourth proportional to 605,133, 906,604.56 and 435,736.20 is: 652,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,133 : 906,604.56 = 435,736.20 : x
  2. Step 2: Convert to fraction form
    605,133/906,604.56 = 435,736.20/x
  3. Step 3: Cross multiply
    605,133x = 906,604.56 × 435,736.20
  4. Step 4: Simplify right side
    605,133x = 395,040,425,877.07
  5. Step 5: Solve for x
    x = 395,040,425,877.07/605,133
  6. Step 6: Final answer
    x = 652,815.87

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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.