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Finding the Fourth Proportional to 414,741.40, 622,112.10 and 407,829.40

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Solution

The fourth proportional to 414,741.40, 622,112.10 and 407,829.40 is: 611,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,741.40 : 622,112.10 = 407,829.40 : x
  2. Step 2: Convert to fraction form
    414,741.40/622,112.10 = 407,829.40/x
  3. Step 3: Cross multiply
    414,741.40x = 622,112.10 × 407,829.40
  4. Step 4: Simplify right side
    414,741.40x = 253,715,604,475.74
  5. Step 5: Solve for x
    x = 253,715,604,475.74/414,741.40
  6. Step 6: Final answer
    x = 611,744.10

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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.