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Finding the Fourth Proportional to 854,672.80, 1,282,009.20 and 412,304.80

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Solution

The fourth proportional to 854,672.80, 1,282,009.20 and 412,304.80 is: 618,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,672.80 : 1,282,009.20 = 412,304.80 : x
  2. Step 2: Convert to fraction form
    854,672.80/1,282,009.20 = 412,304.80/x
  3. Step 3: Cross multiply
    854,672.80x = 1,282,009.20 × 412,304.80
  4. Step 4: Simplify right side
    854,672.80x = 528,578,546,804.16
  5. Step 5: Solve for x
    x = 528,578,546,804.16/854,672.80
  6. Step 6: Final answer
    x = 618,457.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.