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Finding the Fourth Proportional to 362,834.70, 544,057.65 and 152,234.70

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Solution

The fourth proportional to 362,834.70, 544,057.65 and 152,234.70 is: 228,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,834.70 : 544,057.65 = 152,234.70 : x
  2. Step 2: Convert to fraction form
    362,834.70/544,057.65 = 152,234.70/x
  3. Step 3: Cross multiply
    362,834.70x = 544,057.65 × 152,234.70
  4. Step 4: Simplify right side
    362,834.70x = 82,824,453,130.46
  5. Step 5: Solve for x
    x = 82,824,453,130.46/362,834.70
  6. Step 6: Final answer
    x = 228,270.49

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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.