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Finding the Fourth Proportional to 298,854.35, 412,416.37 and 162,888.30

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Solution

The fourth proportional to 298,854.35, 412,416.37 and 162,888.30 is: 224,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,854.35 : 412,416.37 = 162,888.30 : x
  2. Step 2: Convert to fraction form
    298,854.35/412,416.37 = 162,888.30/x
  3. Step 3: Cross multiply
    298,854.35x = 412,416.37 × 162,888.30
  4. Step 4: Simplify right side
    298,854.35x = 67,177,801,605.08
  5. Step 5: Solve for x
    x = 67,177,801,605.08/298,854.35
  6. Step 6: Final answer
    x = 224,784.42

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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.