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Finding the Fourth Proportional to 405,456, 607,593.50 and 194,847.90

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Solution

The fourth proportional to 405,456, 607,593.50 and 194,847.90 is: 291,988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,456 : 607,593.50 = 194,847.90 : x
  2. Step 2: Convert to fraction form
    405,456/607,593.50 = 194,847.90/x
  3. Step 3: Cross multiply
    405,456x = 607,593.50 × 194,847.90
  4. Step 4: Simplify right side
    405,456x = 118,388,316,554.41
  5. Step 5: Solve for x
    x = 118,388,316,554.41/405,456
  6. Step 6: Final answer
    x = 291,988.07

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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.