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Finding the Fourth Proportional to 385,553.68, 576,097.46 and 278,427.76

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Solution

The fourth proportional to 385,553.68, 576,097.46 and 278,427.76 is: 416,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,553.68 : 576,097.46 = 278,427.76 : x
  2. Step 2: Convert to fraction form
    385,553.68/576,097.46 = 278,427.76/x
  3. Step 3: Cross multiply
    385,553.68x = 576,097.46 × 278,427.76
  4. Step 4: Simplify right side
    385,553.68x = 160,401,525,329.49
  5. Step 5: Solve for x
    x = 160,401,525,329.49/385,553.68
  6. Step 6: Final answer
    x = 416,029.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.