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Finding the Fourth Proportional to 300,522.04, 414,702.07 and 164,557.60

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Solution

The fourth proportional to 300,522.04, 414,702.07 and 164,557.60 is: 227,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,522.04 : 414,702.07 = 164,557.60 : x
  2. Step 2: Convert to fraction form
    300,522.04/414,702.07 = 164,557.60/x
  3. Step 3: Cross multiply
    300,522.04x = 414,702.07 × 164,557.60
  4. Step 4: Simplify right side
    300,522.04x = 68,242,377,354.23
  5. Step 5: Solve for x
    x = 68,242,377,354.23/300,522.04
  6. Step 6: Final answer
    x = 227,079.44

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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.