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Finding the Fourth Proportional to 313,998.93, 470,999.75 and 97,860.42

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Solution

The fourth proportional to 313,998.93, 470,999.75 and 97,860.42 is: 146,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,998.93 : 470,999.75 = 97,860.42 : x
  2. Step 2: Convert to fraction form
    313,998.93/470,999.75 = 97,860.42/x
  3. Step 3: Cross multiply
    313,998.93x = 470,999.75 × 97,860.42
  4. Step 4: Simplify right side
    313,998.93x = 46,092,232,865.59
  5. Step 5: Solve for x
    x = 46,092,232,865.59/313,998.93
  6. Step 6: Final answer
    x = 146,791.05

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1.5x scale

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.