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Finding the Fourth Proportional to 298,794.18, 412,330.80 and 162,829.30

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Solution

The fourth proportional to 298,794.18, 412,330.80 and 162,829.30 is: 224,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,794.18 : 412,330.80 = 162,829.30 : x
  2. Step 2: Convert to fraction form
    298,794.18/412,330.80 = 162,829.30/x
  3. Step 3: Cross multiply
    298,794.18x = 412,330.80 × 162,829.30
  4. Step 4: Simplify right side
    298,794.18x = 67,139,535,532.44
  5. Step 5: Solve for x
    x = 67,139,535,532.44/298,794.18
  6. Step 6: Final answer
    x = 224,701.62

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1.5x scale

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.