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Finding the Fourth Proportional to 282,195.38, 423,411.82 and 175,668.50

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Solution

The fourth proportional to 282,195.38, 423,411.82 and 175,668.50 is: 263,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,195.38 : 423,411.82 = 175,668.50 : x
  2. Step 2: Convert to fraction form
    282,195.38/423,411.82 = 175,668.50/x
  3. Step 3: Cross multiply
    282,195.38x = 423,411.82 × 175,668.50
  4. Step 4: Simplify right side
    282,195.38x = 74,380,119,301.67
  5. Step 5: Solve for x
    x = 74,380,119,301.67/282,195.38
  6. Step 6: Final answer
    x = 263,576.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.