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Finding the Fourth Proportional to 514,111.42, 769,825.77 and 413,723.26

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Solution

The fourth proportional to 514,111.42, 769,825.77 and 413,723.26 is: 619,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,111.42 : 769,825.77 = 413,723.26 : x
  2. Step 2: Convert to fraction form
    514,111.42/769,825.77 = 413,723.26/x
  3. Step 3: Cross multiply
    514,111.42x = 769,825.77 × 413,723.26
  4. Step 4: Simplify right side
    514,111.42x = 318,494,827,196.41
  5. Step 5: Solve for x
    x = 318,494,827,196.41/514,111.42
  6. Step 6: Final answer
    x = 619,505.45

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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.