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Finding the Fourth Proportional to 298,980.59, 412,596.45 and 163,013.45

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Solution

The fourth proportional to 298,980.59, 412,596.45 and 163,013.45 is: 224,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,980.59 : 412,596.45 = 163,013.45 : x
  2. Step 2: Convert to fraction form
    298,980.59/412,596.45 = 163,013.45/x
  3. Step 3: Cross multiply
    298,980.59x = 412,596.45 × 163,013.45
  4. Step 4: Simplify right side
    298,980.59x = 67,258,768,709.27
  5. Step 5: Solve for x
    x = 67,258,768,709.27/298,980.59
  6. Step 6: Final answer
    x = 224,960.32

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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.