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Finding the Fourth Proportional to 465,377.40, 698,067.93 and 307,570.77

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Solution

The fourth proportional to 465,377.40, 698,067.93 and 307,570.77 is: 461,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,377.40 : 698,067.93 = 307,570.77 : x
  2. Step 2: Convert to fraction form
    465,377.40/698,067.93 = 307,570.77/x
  3. Step 3: Cross multiply
    465,377.40x = 698,067.93 × 307,570.77
  4. Step 4: Simplify right side
    465,377.40x = 214,705,290,742.41
  5. Step 5: Solve for x
    x = 214,705,290,742.41/465,377.40
  6. Step 6: Final answer
    x = 461,357.36

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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.