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Finding the Fourth Proportional to 462,798.36, 638,473.32 and 301,594.68

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Solution

The fourth proportional to 462,798.36, 638,473.32 and 301,594.68 is: 416,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,798.36 : 638,473.32 = 301,594.68 : x
  2. Step 2: Convert to fraction form
    462,798.36/638,473.32 = 301,594.68/x
  3. Step 3: Cross multiply
    462,798.36x = 638,473.32 × 301,594.68
  4. Step 4: Simplify right side
    462,798.36x = 192,560,156,633.94
  5. Step 5: Solve for x
    x = 192,560,156,633.94/462,798.36
  6. Step 6: Final answer
    x = 416,077.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.