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Finding the Fourth Proportional to 405,969.20, 569,290 and 405,969.20

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Solution

The fourth proportional to 405,969.20, 569,290 and 405,969.20 is: 569,290

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,969.20 : 569,290 = 405,969.20 : x
  2. Step 2: Convert to fraction form
    405,969.20/569,290 = 405,969.20/x
  3. Step 3: Cross multiply
    405,969.20x = 569,290 × 405,969.20
  4. Step 4: Simplify right side
    405,969.20x = 231,114,205,868
  5. Step 5: Solve for x
    x = 231,114,205,868/405,969.20
  6. Step 6: Final answer
    x = 569,290

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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.