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Finding the Fourth Proportional to 298,697.00, 412,200.14 and 162,730.67

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Solution

The fourth proportional to 298,697.00, 412,200.14 and 162,730.67 is: 224,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,697.00 : 412,200.14 = 162,730.67 : x
  2. Step 2: Convert to fraction form
    298,697.00/412,200.14 = 162,730.67/x
  3. Step 3: Cross multiply
    298,697.00x = 412,200.14 × 162,730.67
  4. Step 4: Simplify right side
    298,697.00x = 67,077,602,081.64
  5. Step 5: Solve for x
    x = 67,077,602,081.64/298,697.00
  6. Step 6: Final answer
    x = 224,567.38

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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.