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Finding the Fourth Proportional to 406,952.20, 610,418.70 and 111,464.20

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Solution

The fourth proportional to 406,952.20, 610,418.70 and 111,464.20 is: 167,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,952.20 : 610,418.70 = 111,464.20 : x
  2. Step 2: Convert to fraction form
    406,952.20/610,418.70 = 111,464.20/x
  3. Step 3: Cross multiply
    406,952.20x = 610,418.70 × 111,464.20
  4. Step 4: Simplify right side
    406,952.20x = 68,039,832,060.54
  5. Step 5: Solve for x
    x = 68,039,832,060.54/406,952.20
  6. Step 6: Final answer
    x = 167,193.67

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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.