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Finding the Fourth Proportional to 416,178, 624,119.40 and 149,867.04

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Solution

The fourth proportional to 416,178, 624,119.40 and 149,867.04 is: 224,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,178 : 624,119.40 = 149,867.04 : x
  2. Step 2: Convert to fraction form
    416,178/624,119.40 = 149,867.04/x
  3. Step 3: Cross multiply
    416,178x = 624,119.40 × 149,867.04
  4. Step 4: Simplify right side
    416,178x = 93,534,927,084.58
  5. Step 5: Solve for x
    x = 93,534,927,084.58/416,178
  6. Step 6: Final answer
    x = 224,747.41

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1.5x scale

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.