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Finding the Fourth Proportional to 462,032.23, 638,228.54 and 348,171.54

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Solution

The fourth proportional to 462,032.23, 638,228.54 and 348,171.54 is: 480,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,032.23 : 638,228.54 = 348,171.54 : x
  2. Step 2: Convert to fraction form
    462,032.23/638,228.54 = 348,171.54/x
  3. Step 3: Cross multiply
    462,032.23x = 638,228.54 × 348,171.54
  4. Step 4: Simplify right side
    462,032.23x = 222,213,013,643.75
  5. Step 5: Solve for x
    x = 222,213,013,643.75/462,032.23
  6. Step 6: Final answer
    x = 480,947.00

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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.