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Finding the Fourth Proportional to 381,558.38, 572,348.50 and 101,075.63

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Solution

The fourth proportional to 381,558.38, 572,348.50 and 101,075.63 is: 151,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,558.38 : 572,348.50 = 101,075.63 : x
  2. Step 2: Convert to fraction form
    381,558.38/572,348.50 = 101,075.63/x
  3. Step 3: Cross multiply
    381,558.38x = 572,348.50 × 101,075.63
  4. Step 4: Simplify right side
    381,558.38x = 57,850,482,102.62
  5. Step 5: Solve for x
    x = 57,850,482,102.62/381,558.38
  6. Step 6: Final answer
    x = 151,616.33

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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.