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Finding the Fourth Proportional to 405,825.50, 560,041.11 and 226,977.50

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Solution

The fourth proportional to 405,825.50, 560,041.11 and 226,977.50 is: 313,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,825.50 : 560,041.11 = 226,977.50 : x
  2. Step 2: Convert to fraction form
    405,825.50/560,041.11 = 226,977.50/x
  3. Step 3: Cross multiply
    405,825.50x = 560,041.11 × 226,977.50
  4. Step 4: Simplify right side
    405,825.50x = 127,116,731,045.03
  5. Step 5: Solve for x
    x = 127,116,731,045.03/405,825.50
  6. Step 6: Final answer
    x = 313,230.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.