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Finding the Fourth Proportional to 311,788.64, 467,420.52 and 124,698.08

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Solution

The fourth proportional to 311,788.64, 467,420.52 and 124,698.08 is: 186,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,788.64 : 467,420.52 = 124,698.08 : x
  2. Step 2: Convert to fraction form
    311,788.64/467,420.52 = 124,698.08/x
  3. Step 3: Cross multiply
    311,788.64x = 467,420.52 × 124,698.08
  4. Step 4: Simplify right side
    311,788.64x = 58,286,441,396.60
  5. Step 5: Solve for x
    x = 58,286,441,396.60/311,788.64
  6. Step 6: Final answer
    x = 186,942.16

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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.