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Finding the Fourth Proportional to 407,000.20, 610,490.70 and 111,512.20

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Solution

The fourth proportional to 407,000.20, 610,490.70 and 111,512.20 is: 167,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,000.20 : 610,490.70 = 111,512.20 : x
  2. Step 2: Convert to fraction form
    407,000.20/610,490.70 = 111,512.20/x
  3. Step 3: Cross multiply
    407,000.20x = 610,490.70 × 111,512.20
  4. Step 4: Simplify right side
    407,000.20x = 68,077,161,036.54
  5. Step 5: Solve for x
    x = 68,077,161,036.54/407,000.20
  6. Step 6: Final answer
    x = 167,265.67

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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.