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Finding the Fourth Proportional to 274,614.40, 411,460.80 and 134,070.40

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Solution

The fourth proportional to 274,614.40, 411,460.80 and 134,070.40 is: 200,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,614.40 : 411,460.80 = 134,070.40 : x
  2. Step 2: Convert to fraction form
    274,614.40/411,460.80 = 134,070.40/x
  3. Step 3: Cross multiply
    274,614.40x = 411,460.80 × 134,070.40
  4. Step 4: Simplify right side
    274,614.40x = 55,164,714,040.32
  5. Step 5: Solve for x
    x = 55,164,714,040.32/274,614.40
  6. Step 6: Final answer
    x = 200,880.63

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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.