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Finding the Fourth Proportional to 362,457.20, 543,685.80 and 269,145.20

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Solution

The fourth proportional to 362,457.20, 543,685.80 and 269,145.20 is: 403,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,457.20 : 543,685.80 = 269,145.20 : x
  2. Step 2: Convert to fraction form
    362,457.20/543,685.80 = 269,145.20/x
  3. Step 3: Cross multiply
    362,457.20x = 543,685.80 × 269,145.20
  4. Step 4: Simplify right side
    362,457.20x = 146,330,423,378.16
  5. Step 5: Solve for x
    x = 146,330,423,378.16/362,457.20
  6. Step 6: Final answer
    x = 403,717.80

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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.