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Finding the Fourth Proportional to 419,116.48, 578,364.69 and 237,817.60

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Solution

The fourth proportional to 419,116.48, 578,364.69 and 237,817.60 is: 328,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,116.48 : 578,364.69 = 237,817.60 : x
  2. Step 2: Convert to fraction form
    419,116.48/578,364.69 = 237,817.60/x
  3. Step 3: Cross multiply
    419,116.48x = 578,364.69 × 237,817.60
  4. Step 4: Simplify right side
    419,116.48x = 137,545,301,054.63
  5. Step 5: Solve for x
    x = 137,545,301,054.63/419,116.48
  6. Step 6: Final answer
    x = 328,179.18

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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.