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Finding the Fourth Proportional to 501,101.70, 751,652.55 and 465,672.30

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Solution

The fourth proportional to 501,101.70, 751,652.55 and 465,672.30 is: 698,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,101.70 : 751,652.55 = 465,672.30 : x
  2. Step 2: Convert to fraction form
    501,101.70/751,652.55 = 465,672.30/x
  3. Step 3: Cross multiply
    501,101.70x = 751,652.55 × 465,672.30
  4. Step 4: Simplify right side
    501,101.70x = 350,023,771,759.37
  5. Step 5: Solve for x
    x = 350,023,771,759.37/501,101.70
  6. Step 6: Final answer
    x = 698,508.45

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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.