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Finding the Fourth Proportional to 322,050.31, 483,075.47 and 122,323.46

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Solution

The fourth proportional to 322,050.31, 483,075.47 and 122,323.46 is: 183,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,050.31 : 483,075.47 = 122,323.46 : x
  2. Step 2: Convert to fraction form
    322,050.31/483,075.47 = 122,323.46/x
  3. Step 3: Cross multiply
    322,050.31x = 483,075.47 × 122,323.46
  4. Step 4: Simplify right side
    322,050.31x = 59,091,460,821.96
  5. Step 5: Solve for x
    x = 59,091,460,821.96/322,050.31
  6. Step 6: Final answer
    x = 183,485.19

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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.