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Finding the Fourth Proportional to 650,735.69, 977,602.03 and 461,665.49

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Solution

The fourth proportional to 650,735.69, 977,602.03 and 461,665.49 is: 693,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,735.69 : 977,602.03 = 461,665.49 : x
  2. Step 2: Convert to fraction form
    650,735.69/977,602.03 = 461,665.49/x
  3. Step 3: Cross multiply
    650,735.69x = 977,602.03 × 461,665.49
  4. Step 4: Simplify right side
    650,735.69x = 451,325,114,162.77
  5. Step 5: Solve for x
    x = 451,325,114,162.77/650,735.69
  6. Step 6: Final answer
    x = 693,561.34

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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.