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Finding the Fourth Proportional to 307,570.70, 460,837.65 and 149,458.70

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Solution

The fourth proportional to 307,570.70, 460,837.65 and 149,458.70 is: 223,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,570.70 : 460,837.65 = 149,458.70 : x
  2. Step 2: Convert to fraction form
    307,570.70/460,837.65 = 149,458.70/x
  3. Step 3: Cross multiply
    307,570.70x = 460,837.65 × 149,458.70
  4. Step 4: Simplify right side
    307,570.70x = 68,876,196,080.06
  5. Step 5: Solve for x
    x = 68,876,196,080.06/307,570.70
  6. Step 6: Final answer
    x = 223,936.14

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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.