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Finding the Fourth Proportional to 289,853.20, 406,727.60 and 289,853.20

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Solution

The fourth proportional to 289,853.20, 406,727.60 and 289,853.20 is: 406,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,853.20 : 406,727.60 = 289,853.20 : x
  2. Step 2: Convert to fraction form
    289,853.20/406,727.60 = 289,853.20/x
  3. Step 3: Cross multiply
    289,853.20x = 406,727.60 × 289,853.20
  4. Step 4: Simplify right side
    289,853.20x = 117,891,296,388.32
  5. Step 5: Solve for x
    x = 117,891,296,388.32/289,853.20
  6. Step 6: Final answer
    x = 406,727.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.