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Finding the Fourth Proportional to 405,907.20, 569,203.20 and 405,907.20

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Solution

The fourth proportional to 405,907.20, 569,203.20 and 405,907.20 is: 569,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,907.20 : 569,203.20 = 405,907.20 : x
  2. Step 2: Convert to fraction form
    405,907.20/569,203.20 = 405,907.20/x
  3. Step 3: Cross multiply
    405,907.20x = 569,203.20 × 405,907.20
  4. Step 4: Simplify right side
    405,907.20x = 231,043,677,143.04
  5. Step 5: Solve for x
    x = 231,043,677,143.04/405,907.20
  6. Step 6: Final answer
    x = 569,203.20

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