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Finding the Fourth Proportional to 298,751.08, 412,271.29 and 162,786.14

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Solution

The fourth proportional to 298,751.08, 412,271.29 and 162,786.14 is: 224,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,751.08 : 412,271.29 = 162,786.14 : x
  2. Step 2: Convert to fraction form
    298,751.08/412,271.29 = 162,786.14/x
  3. Step 3: Cross multiply
    298,751.08x = 412,271.29 × 162,786.14
  4. Step 4: Simplify right side
    298,751.08x = 67,112,051,931.92
  5. Step 5: Solve for x
    x = 67,112,051,931.92/298,751.08
  6. Step 6: Final answer
    x = 224,642.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.