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Finding the Fourth Proportional to 513,475.86, 769,747.23 and 232,840.02

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Solution

The fourth proportional to 513,475.86, 769,747.23 and 232,840.02 is: 349,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,475.86 : 769,747.23 = 232,840.02 : x
  2. Step 2: Convert to fraction form
    513,475.86/769,747.23 = 232,840.02/x
  3. Step 3: Cross multiply
    513,475.86x = 769,747.23 × 232,840.02
  4. Step 4: Simplify right side
    513,475.86x = 179,227,960,428.15
  5. Step 5: Solve for x
    x = 179,227,960,428.15/513,475.86
  6. Step 6: Final answer
    x = 349,048.46

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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.