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Finding the Fourth Proportional to 433,864.65, 598,676.97 and 242,878.20

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Solution

The fourth proportional to 433,864.65, 598,676.97 and 242,878.20 is: 335,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,864.65 : 598,676.97 = 242,878.20 : x
  2. Step 2: Convert to fraction form
    433,864.65/598,676.97 = 242,878.20/x
  3. Step 3: Cross multiply
    433,864.65x = 598,676.97 × 242,878.20
  4. Step 4: Simplify right side
    433,864.65x = 145,405,583,520.81
  5. Step 5: Solve for x
    x = 145,405,583,520.81/433,864.65
  6. Step 6: Final answer
    x = 335,140.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.