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Finding the Fourth Proportional to 524,425, 786,640.38 and 130,441

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Solution

The fourth proportional to 524,425, 786,640.38 and 130,441 is: 195,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,425 : 786,640.38 = 130,441 : x
  2. Step 2: Convert to fraction form
    524,425/786,640.38 = 130,441/x
  3. Step 3: Cross multiply
    524,425x = 786,640.38 × 130,441
  4. Step 4: Simplify right side
    524,425x = 102,610,157,807.58
  5. Step 5: Solve for x
    x = 102,610,157,807.58/524,425
  6. Step 6: Final answer
    x = 195,662.22

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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.