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Finding the Fourth Proportional to 405,907.59, 608,848.83 and 192,828.89

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Solution

The fourth proportional to 405,907.59, 608,848.83 and 192,828.89 is: 289,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,907.59 : 608,848.83 = 192,828.89 : x
  2. Step 2: Convert to fraction form
    405,907.59/608,848.83 = 192,828.89/x
  3. Step 3: Cross multiply
    405,907.59x = 608,848.83 × 192,828.89
  4. Step 4: Simplify right side
    405,907.59x = 117,403,644,066.70
  5. Step 5: Solve for x
    x = 117,403,644,066.70/405,907.59
  6. Step 6: Final answer
    x = 289,237.37

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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.