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Finding the Fourth Proportional to 433,441.89, 598,206.47 and 242,494.65

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Solution

The fourth proportional to 433,441.89, 598,206.47 and 242,494.65 is: 334,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,441.89 : 598,206.47 = 242,494.65 : x
  2. Step 2: Convert to fraction form
    433,441.89/598,206.47 = 242,494.65/x
  3. Step 3: Cross multiply
    433,441.89x = 598,206.47 × 242,494.65
  4. Step 4: Simplify right side
    433,441.89x = 145,061,867,357.91
  5. Step 5: Solve for x
    x = 145,061,867,357.91/433,441.89
  6. Step 6: Final answer
    x = 334,674.31

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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.