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Finding the Fourth Proportional to 311,146.47, 466,872.12 and 111,482.28

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Solution

The fourth proportional to 311,146.47, 466,872.12 and 111,482.28 is: 167,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,146.47 : 466,872.12 = 111,482.28 : x
  2. Step 2: Convert to fraction form
    311,146.47/466,872.12 = 111,482.28/x
  3. Step 3: Cross multiply
    311,146.47x = 466,872.12 × 111,482.28
  4. Step 4: Simplify right side
    311,146.47x = 52,047,968,406.03
  5. Step 5: Solve for x
    x = 52,047,968,406.03/311,146.47
  6. Step 6: Final answer
    x = 167,278.03

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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.