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Finding the Fourth Proportional to 416,931.90, 624,960.45 and 164,114.70

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Solution

The fourth proportional to 416,931.90, 624,960.45 and 164,114.70 is: 245,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,931.90 : 624,960.45 = 164,114.70 : x
  2. Step 2: Convert to fraction form
    416,931.90/624,960.45 = 164,114.70/x
  3. Step 3: Cross multiply
    416,931.90x = 624,960.45 × 164,114.70
  4. Step 4: Simplify right side
    416,931.90x = 102,565,196,763.62
  5. Step 5: Solve for x
    x = 102,565,196,763.62/416,931.90
  6. Step 6: Final answer
    x = 245,999.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.