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Finding the Fourth Proportional to 282,763.40, 424,145.10 and 162,697.10

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Solution

The fourth proportional to 282,763.40, 424,145.10 and 162,697.10 is: 244,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,763.40 : 424,145.10 = 162,697.10 : x
  2. Step 2: Convert to fraction form
    282,763.40/424,145.10 = 162,697.10/x
  3. Step 3: Cross multiply
    282,763.40x = 424,145.10 × 162,697.10
  4. Step 4: Simplify right side
    282,763.40x = 69,007,177,749.21
  5. Step 5: Solve for x
    x = 69,007,177,749.21/282,763.40
  6. Step 6: Final answer
    x = 244,045.65

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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.