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Finding the Fourth Proportional to 310,794.85, 466,075.09 and 100,376.29

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Solution

The fourth proportional to 310,794.85, 466,075.09 and 100,376.29 is: 150,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,794.85 : 466,075.09 = 100,376.29 : x
  2. Step 2: Convert to fraction form
    310,794.85/466,075.09 = 100,376.29/x
  3. Step 3: Cross multiply
    310,794.85x = 466,075.09 × 100,376.29
  4. Step 4: Simplify right side
    310,794.85x = 46,782,888,395.62
  5. Step 5: Solve for x
    x = 46,782,888,395.62/310,794.85
  6. Step 6: Final answer
    x = 150,526.59

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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.