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Finding the Fourth Proportional to 854,014.34, 1,178,656.98 and 491,430.80

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Solution

The fourth proportional to 854,014.34, 1,178,656.98 and 491,430.80 is: 678,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,014.34 : 1,178,656.98 = 491,430.80 : x
  2. Step 2: Convert to fraction form
    854,014.34/1,178,656.98 = 491,430.80/x
  3. Step 3: Cross multiply
    854,014.34x = 1,178,656.98 × 491,430.80
  4. Step 4: Simplify right side
    854,014.34x = 579,228,342,606.98
  5. Step 5: Solve for x
    x = 579,228,342,606.98/854,014.34
  6. Step 6: Final answer
    x = 678,241.94

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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.