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Finding the Fourth Proportional to 385,722.98, 578,676.85 and 160,958.39

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Solution

The fourth proportional to 385,722.98, 578,676.85 and 160,958.39 is: 241,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,722.98 : 578,676.85 = 160,958.39 : x
  2. Step 2: Convert to fraction form
    385,722.98/578,676.85 = 160,958.39/x
  3. Step 3: Cross multiply
    385,722.98x = 578,676.85 × 160,958.39
  4. Step 4: Simplify right side
    385,722.98x = 93,142,890,810.49
  5. Step 5: Solve for x
    x = 93,142,890,810.49/385,722.98
  6. Step 6: Final answer
    x = 241,476.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.