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Finding the Fourth Proportional to 271,706.24, 407,428.28 and 113,892.32

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Solution

The fourth proportional to 271,706.24, 407,428.28 and 113,892.32 is: 170,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,706.24 : 407,428.28 = 113,892.32 : x
  2. Step 2: Convert to fraction form
    271,706.24/407,428.28 = 113,892.32/x
  3. Step 3: Cross multiply
    271,706.24x = 407,428.28 × 113,892.32
  4. Step 4: Simplify right side
    271,706.24x = 46,402,952,042.81
  5. Step 5: Solve for x
    x = 46,402,952,042.81/271,706.24
  6. Step 6: Final answer
    x = 170,783.53

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1.5x scale

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.