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Finding the Fourth Proportional to 315,075.36, 434,558.16 and 201,908.64

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Solution

The fourth proportional to 315,075.36, 434,558.16 and 201,908.64 is: 278,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,075.36 : 434,558.16 = 201,908.64 : x
  2. Step 2: Convert to fraction form
    315,075.36/434,558.16 = 201,908.64/x
  3. Step 3: Cross multiply
    315,075.36x = 434,558.16 × 201,908.64
  4. Step 4: Simplify right side
    315,075.36x = 87,741,047,086.50
  5. Step 5: Solve for x
    x = 87,741,047,086.50/315,075.36
  6. Step 6: Final answer
    x = 278,476.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.