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Finding the Fourth Proportional to 385,433.70, 578,064.15 and 253,241.70

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Solution

The fourth proportional to 385,433.70, 578,064.15 and 253,241.70 is: 379,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,433.70 : 578,064.15 = 253,241.70 : x
  2. Step 2: Convert to fraction form
    385,433.70/578,064.15 = 253,241.70/x
  3. Step 3: Cross multiply
    385,433.70x = 578,064.15 × 253,241.70
  4. Step 4: Simplify right side
    385,433.70x = 146,389,948,055.06
  5. Step 5: Solve for x
    x = 146,389,948,055.06/385,433.70
  6. Step 6: Final answer
    x = 379,805.78

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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.