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Finding the Fourth Proportional to 314,511.46, 471,544.80 and 101,213.38

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Solution

The fourth proportional to 314,511.46, 471,544.80 and 101,213.38 is: 151,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,511.46 : 471,544.80 = 101,213.38 : x
  2. Step 2: Convert to fraction form
    314,511.46/471,544.80 = 101,213.38/x
  3. Step 3: Cross multiply
    314,511.46x = 471,544.80 × 101,213.38
  4. Step 4: Simplify right side
    314,511.46x = 47,726,643,029.42
  5. Step 5: Solve for x
    x = 47,726,643,029.42/314,511.46
  6. Step 6: Final answer
    x = 151,748.50

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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.