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Finding the Fourth Proportional to 299,520.84, 449,059.32 and 141,564.72

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Solution

The fourth proportional to 299,520.84, 449,059.32 and 141,564.72 is: 212,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,520.84 : 449,059.32 = 141,564.72 : x
  2. Step 2: Convert to fraction form
    299,520.84/449,059.32 = 141,564.72/x
  3. Step 3: Cross multiply
    299,520.84x = 449,059.32 × 141,564.72
  4. Step 4: Simplify right side
    299,520.84x = 63,570,956,899.19
  5. Step 5: Solve for x
    x = 63,570,956,899.19/299,520.84
  6. Step 6: Final answer
    x = 212,242.18

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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.