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Finding the Fourth Proportional to 405,911.20, 569,208.80 and 405,911.20

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Solution

The fourth proportional to 405,911.20, 569,208.80 and 405,911.20 is: 569,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,911.20 : 569,208.80 = 405,911.20 : x
  2. Step 2: Convert to fraction form
    405,911.20/569,208.80 = 405,911.20/x
  3. Step 3: Cross multiply
    405,911.20x = 569,208.80 × 405,911.20
  4. Step 4: Simplify right side
    405,911.20x = 231,048,227,058.56
  5. Step 5: Solve for x
    x = 231,048,227,058.56/405,911.20
  6. Step 6: Final answer
    x = 569,208.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.