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Finding the Fourth Proportional to 414,460.40, 621,690.60 and 407,548.40

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Solution

The fourth proportional to 414,460.40, 621,690.60 and 407,548.40 is: 611,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,460.40 : 621,690.60 = 407,548.40 : x
  2. Step 2: Convert to fraction form
    414,460.40/621,690.60 = 407,548.40/x
  3. Step 3: Cross multiply
    414,460.40x = 621,690.60 × 407,548.40
  4. Step 4: Simplify right side
    414,460.40x = 253,369,009,325.04
  5. Step 5: Solve for x
    x = 253,369,009,325.04/414,460.40
  6. Step 6: Final answer
    x = 611,322.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.