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Finding the Fourth Proportional to 462,557.04, 638,435.40 and 301,131

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Solution

The fourth proportional to 462,557.04, 638,435.40 and 301,131 is: 415,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,557.04 : 638,435.40 = 301,131 : x
  2. Step 2: Convert to fraction form
    462,557.04/638,435.40 = 301,131/x
  3. Step 3: Cross multiply
    462,557.04x = 638,435.40 × 301,131
  4. Step 4: Simplify right side
    462,557.04x = 192,252,690,437.40
  5. Step 5: Solve for x
    x = 192,252,690,437.40/462,557.04
  6. Step 6: Final answer
    x = 415,630.23

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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.