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Finding the Fourth Proportional to 405,453.99, 607,590.50 and 194,845.89

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Solution

The fourth proportional to 405,453.99, 607,590.50 and 194,845.89 is: 291,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,453.99 : 607,590.50 = 194,845.89 : x
  2. Step 2: Convert to fraction form
    405,453.99/607,590.50 = 194,845.89/x
  3. Step 3: Cross multiply
    405,453.99x = 607,590.50 × 194,845.89
  4. Step 4: Simplify right side
    405,453.99x = 118,386,511,728.05
  5. Step 5: Solve for x
    x = 118,386,511,728.05/405,453.99
  6. Step 6: Final answer
    x = 291,985.07

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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.