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Finding the Fourth Proportional to 524,964.24, 786,264.57 and 367,893.90

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Solution

The fourth proportional to 524,964.24, 786,264.57 and 367,893.90 is: 551,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,964.24 : 786,264.57 = 367,893.90 : x
  2. Step 2: Convert to fraction form
    524,964.24/786,264.57 = 367,893.90/x
  3. Step 3: Cross multiply
    524,964.24x = 786,264.57 × 367,893.90
  4. Step 4: Simplify right side
    524,964.24x = 289,261,939,089.12
  5. Step 5: Solve for x
    x = 289,261,939,089.12/524,964.24
  6. Step 6: Final answer
    x = 551,012.65

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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.