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Finding the Fourth Proportional to 524,502.56, 786,732.84 and 150,525.44

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Solution

The fourth proportional to 524,502.56, 786,732.84 and 150,525.44 is: 225,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,502.56 : 786,732.84 = 150,525.44 : x
  2. Step 2: Convert to fraction form
    524,502.56/786,732.84 = 150,525.44/x
  3. Step 3: Cross multiply
    524,502.56x = 786,732.84 × 150,525.44
  4. Step 4: Simplify right side
    524,502.56x = 118,423,306,903.45
  5. Step 5: Solve for x
    x = 118,423,306,903.45/524,502.56
  6. Step 6: Final answer
    x = 225,782.13

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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.