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Finding the Fourth Proportional to 307,816.80, 461,379.60 and 157,999.20

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Solution

The fourth proportional to 307,816.80, 461,379.60 and 157,999.20 is: 236,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,816.80 : 461,379.60 = 157,999.20 : x
  2. Step 2: Convert to fraction form
    307,816.80/461,379.60 = 157,999.20/x
  3. Step 3: Cross multiply
    307,816.80x = 461,379.60 × 157,999.20
  4. Step 4: Simplify right side
    307,816.80x = 72,897,607,696.32
  5. Step 5: Solve for x
    x = 72,897,607,696.32/307,816.80
  6. Step 6: Final answer
    x = 236,821.41

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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.