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Finding the Fourth Proportional to 412,362.51, 569,059.88 and 231,075.87

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Solution

The fourth proportional to 412,362.51, 569,059.88 and 231,075.87 is: 318,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,362.51 : 569,059.88 = 231,075.87 : x
  2. Step 2: Convert to fraction form
    412,362.51/569,059.88 = 231,075.87/x
  3. Step 3: Cross multiply
    412,362.51x = 569,059.88 × 231,075.87
  4. Step 4: Simplify right side
    412,362.51x = 131,496,005,697.72
  5. Step 5: Solve for x
    x = 131,496,005,697.72/412,362.51
  6. Step 6: Final answer
    x = 318,884.48

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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.