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Finding the Fourth Proportional to 524,309, 786,466.38 and 130,325

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Solution

The fourth proportional to 524,309, 786,466.38 and 130,325 is: 195,488.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,309 : 786,466.38 = 130,325 : x
  2. Step 2: Convert to fraction form
    524,309/786,466.38 = 130,325/x
  3. Step 3: Cross multiply
    524,309x = 786,466.38 × 130,325
  4. Step 4: Simplify right side
    524,309x = 102,496,230,973.50
  5. Step 5: Solve for x
    x = 102,496,230,973.50/524,309
  6. Step 6: Final answer
    x = 195,488.22

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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.