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Finding the Fourth Proportional to 362,162.40, 543,243.60 and 175,538.40

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Solution

The fourth proportional to 362,162.40, 543,243.60 and 175,538.40 is: 263,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,162.40 : 543,243.60 = 175,538.40 : x
  2. Step 2: Convert to fraction form
    362,162.40/543,243.60 = 175,538.40/x
  3. Step 3: Cross multiply
    362,162.40x = 543,243.60 × 175,538.40
  4. Step 4: Simplify right side
    362,162.40x = 95,360,112,354.24
  5. Step 5: Solve for x
    x = 95,360,112,354.24/362,162.40
  6. Step 6: Final answer
    x = 263,307.60

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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.