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Finding the Fourth Proportional to 524,192.58, 786,289.68 and 159,457.41

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Solution

The fourth proportional to 524,192.58, 786,289.68 and 159,457.41 is: 239,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,192.58 : 786,289.68 = 159,457.41 : x
  2. Step 2: Convert to fraction form
    524,192.58/786,289.68 = 159,457.41/x
  3. Step 3: Cross multiply
    524,192.58x = 786,289.68 × 159,457.41
  4. Step 4: Simplify right side
    524,192.58x = 125,379,715,882.53
  5. Step 5: Solve for x
    x = 125,379,715,882.53/524,192.58
  6. Step 6: Final answer
    x = 239,186.36

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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.