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Finding the Fourth Proportional to 524,891.42, 786,075.99 and 299,568.74

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Solution

The fourth proportional to 524,891.42, 786,075.99 and 299,568.74 is: 448,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,891.42 : 786,075.99 = 299,568.74 : x
  2. Step 2: Convert to fraction form
    524,891.42/786,075.99 = 299,568.74/x
  3. Step 3: Cross multiply
    524,891.42x = 786,075.99 × 299,568.74
  4. Step 4: Simplify right side
    524,891.42x = 235,483,790,499.86
  5. Step 5: Solve for x
    x = 235,483,790,499.86/524,891.42
  6. Step 6: Final answer
    x = 448,633.34

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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.