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Finding the Fourth Proportional to 405,075.82, 559,002.82 and 223,787.78

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Solution

The fourth proportional to 405,075.82, 559,002.82 and 223,787.78 is: 308,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,075.82 : 559,002.82 = 223,787.78 : x
  2. Step 2: Convert to fraction form
    405,075.82/559,002.82 = 223,787.78/x
  3. Step 3: Cross multiply
    405,075.82x = 559,002.82 × 223,787.78
  4. Step 4: Simplify right side
    405,075.82x = 125,098,000,101.54
  5. Step 5: Solve for x
    x = 125,098,000,101.54/405,075.82
  6. Step 6: Final answer
    x = 308,826.14

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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.