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Finding the Fourth Proportional to 294,883.25, 442,492.87 and 114,945.26

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Solution

The fourth proportional to 294,883.25, 442,492.87 and 114,945.26 is: 172,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,883.25 : 442,492.87 = 114,945.26 : x
  2. Step 2: Convert to fraction form
    294,883.25/442,492.87 = 114,945.26/x
  3. Step 3: Cross multiply
    294,883.25x = 442,492.87 × 114,945.26
  4. Step 4: Simplify right side
    294,883.25x = 50,862,457,990.30
  5. Step 5: Solve for x
    x = 50,862,457,990.30/294,883.25
  6. Step 6: Final answer
    x = 172,483.37

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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.