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Finding the Fourth Proportional to 307,495.44, 461,309.99 and 94,264.16

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Solution

The fourth proportional to 307,495.44, 461,309.99 and 94,264.16 is: 141,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,495.44 : 461,309.99 = 94,264.16 : x
  2. Step 2: Convert to fraction form
    307,495.44/461,309.99 = 94,264.16/x
  3. Step 3: Cross multiply
    307,495.44x = 461,309.99 × 94,264.16
  4. Step 4: Simplify right side
    307,495.44x = 43,484,995,929.09
  5. Step 5: Solve for x
    x = 43,484,995,929.09/307,495.44
  6. Step 6: Final answer
    x = 141,416.72

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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.