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Finding the Fourth Proportional to 362,102.40, 543,309.12 and 257,592.96

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Solution

The fourth proportional to 362,102.40, 543,309.12 and 257,592.96 is: 386,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,102.40 : 543,309.12 = 257,592.96 : x
  2. Step 2: Convert to fraction form
    362,102.40/543,309.12 = 257,592.96/x
  3. Step 3: Cross multiply
    362,102.40x = 543,309.12 × 257,592.96
  4. Step 4: Simplify right side
    362,102.40x = 139,952,604,415.80
  5. Step 5: Solve for x
    x = 139,952,604,415.80/362,102.40
  6. Step 6: Final answer
    x = 386,500.07

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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.