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Finding the Fourth Proportional to 298,436.40, 411,828.81 and 162,466.86

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Solution

The fourth proportional to 298,436.40, 411,828.81 and 162,466.86 is: 224,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,436.40 : 411,828.81 = 162,466.86 : x
  2. Step 2: Convert to fraction form
    298,436.40/411,828.81 = 162,466.86/x
  3. Step 3: Cross multiply
    298,436.40x = 411,828.81 × 162,466.86
  4. Step 4: Simplify right side
    298,436.40x = 66,908,534,553.34
  5. Step 5: Solve for x
    x = 66,908,534,553.34/298,436.40
  6. Step 6: Final answer
    x = 224,196.96

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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.