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Finding the Fourth Proportional to 491,207.09, 736,550.28 and 301,754.16

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Solution

The fourth proportional to 491,207.09, 736,550.28 and 301,754.16 is: 452,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,207.09 : 736,550.28 = 301,754.16 : x
  2. Step 2: Convert to fraction form
    491,207.09/736,550.28 = 301,754.16/x
  3. Step 3: Cross multiply
    491,207.09x = 736,550.28 × 301,754.16
  4. Step 4: Simplify right side
    491,207.09x = 222,257,111,039.17
  5. Step 5: Solve for x
    x = 222,257,111,039.17/491,207.09
  6. Step 6: Final answer
    x = 452,471.31

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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.