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Finding the Fourth Proportional to 417,065.94, 622,546.74 and 358,279.38

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Solution

The fourth proportional to 417,065.94, 622,546.74 and 358,279.38 is: 534,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,065.94 : 622,546.74 = 358,279.38 : x
  2. Step 2: Convert to fraction form
    417,065.94/622,546.74 = 358,279.38/x
  3. Step 3: Cross multiply
    417,065.94x = 622,546.74 × 358,279.38
  4. Step 4: Simplify right side
    417,065.94x = 223,045,660,028.22
  5. Step 5: Solve for x
    x = 223,045,660,028.22/417,065.94
  6. Step 6: Final answer
    x = 534,797.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.