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Finding the Fourth Proportional to 405,456.37, 607,594.06 and 194,848.27

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Solution

The fourth proportional to 405,456.37, 607,594.06 and 194,848.27 is: 291,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,456.37 : 607,594.06 = 194,848.27 : x
  2. Step 2: Convert to fraction form
    405,456.37/607,594.06 = 194,848.27/x
  3. Step 3: Cross multiply
    405,456.37x = 607,594.06 × 194,848.27
  4. Step 4: Simplify right side
    405,456.37x = 118,388,650,177.85
  5. Step 5: Solve for x
    x = 118,388,650,177.85/405,456.37
  6. Step 6: Final answer
    x = 291,988.63

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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.