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Finding the Fourth Proportional to 514,112.67, 769,827.65 and 413,724.51

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Solution

The fourth proportional to 514,112.67, 769,827.65 and 413,724.51 is: 619,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,112.67 : 769,827.65 = 413,724.51 : x
  2. Step 2: Convert to fraction form
    514,112.67/769,827.65 = 413,724.51/x
  3. Step 3: Cross multiply
    514,112.67x = 769,827.65 × 413,724.51
  4. Step 4: Simplify right side
    514,112.67x = 318,496,565,212.08
  5. Step 5: Solve for x
    x = 318,496,565,212.08/514,112.67
  6. Step 6: Final answer
    x = 619,507.33

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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.