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Finding the Fourth Proportional to 307,666.34, 461,477.62 and 83,039.56

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Solution

The fourth proportional to 307,666.34, 461,477.62 and 83,039.56 is: 124,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,666.34 : 461,477.62 = 83,039.56 : x
  2. Step 2: Convert to fraction form
    307,666.34/461,477.62 = 83,039.56/x
  3. Step 3: Cross multiply
    307,666.34x = 461,477.62 × 83,039.56
  4. Step 4: Simplify right side
    307,666.34x = 38,320,898,514.65
  5. Step 5: Solve for x
    x = 38,320,898,514.65/307,666.34
  6. Step 6: Final answer
    x = 124,553.43

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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.