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Finding the Fourth Proportional to 416,045.60, 624,284.40 and 194,429.60

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Solution

The fourth proportional to 416,045.60, 624,284.40 and 194,429.60 is: 291,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,045.60 : 624,284.40 = 194,429.60 : x
  2. Step 2: Convert to fraction form
    416,045.60/624,284.40 = 194,429.60/x
  3. Step 3: Cross multiply
    416,045.60x = 624,284.40 × 194,429.60
  4. Step 4: Simplify right side
    416,045.60x = 121,379,366,178.24
  5. Step 5: Solve for x
    x = 121,379,366,178.24/416,045.60
  6. Step 6: Final answer
    x = 291,745.34

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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.