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Finding the Fourth Proportional to 414,853.10, 622,279.65 and 414,853.10

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Solution

The fourth proportional to 414,853.10, 622,279.65 and 414,853.10 is: 622,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,853.10 : 622,279.65 = 414,853.10 : x
  2. Step 2: Convert to fraction form
    414,853.10/622,279.65 = 414,853.10/x
  3. Step 3: Cross multiply
    414,853.10x = 622,279.65 × 414,853.10
  4. Step 4: Simplify right side
    414,853.10x = 258,154,641,869.42
  5. Step 5: Solve for x
    x = 258,154,641,869.42/414,853.10
  6. Step 6: Final answer
    x = 622,279.65

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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.