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Finding the Fourth Proportional to 307,674.82, 461,490.36 and 83,048.08

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Solution

The fourth proportional to 307,674.82, 461,490.36 and 83,048.08 is: 124,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,674.82 : 461,490.36 = 83,048.08 : x
  2. Step 2: Convert to fraction form
    307,674.82/461,490.36 = 83,048.08/x
  3. Step 3: Cross multiply
    307,674.82x = 461,490.36 × 83,048.08
  4. Step 4: Simplify right side
    307,674.82x = 38,325,888,336.51
  5. Step 5: Solve for x
    x = 38,325,888,336.51/307,674.82
  6. Step 6: Final answer
    x = 124,566.22

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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.