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Finding the Fourth Proportional to 539,216.40, 809,407.80 and 303,020.40

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Solution

The fourth proportional to 539,216.40, 809,407.80 and 303,020.40 is: 454,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,216.40 : 809,407.80 = 303,020.40 : x
  2. Step 2: Convert to fraction form
    539,216.40/809,407.80 = 303,020.40/x
  3. Step 3: Cross multiply
    539,216.40x = 809,407.80 × 303,020.40
  4. Step 4: Simplify right side
    539,216.40x = 245,267,075,319.12
  5. Step 5: Solve for x
    x = 245,267,075,319.12/539,216.40
  6. Step 6: Final answer
    x = 454,858.34

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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.