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Finding the Fourth Proportional to 414,561.66, 621,328.47 and 294,427.05

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Solution

The fourth proportional to 414,561.66, 621,328.47 and 294,427.05 is: 441,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,561.66 : 621,328.47 = 294,427.05 : x
  2. Step 2: Convert to fraction form
    414,561.66/621,328.47 = 294,427.05/x
  3. Step 3: Cross multiply
    414,561.66x = 621,328.47 × 294,427.05
  4. Step 4: Simplify right side
    414,561.66x = 182,935,908,503.11
  5. Step 5: Solve for x
    x = 182,935,908,503.11/414,561.66
  6. Step 6: Final answer
    x = 441,275.51

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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.