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Finding the Fourth Proportional to 416,037.60, 624,272.40 and 194,421.60

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Solution

The fourth proportional to 416,037.60, 624,272.40 and 194,421.60 is: 291,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,037.60 : 624,272.40 = 194,421.60 : x
  2. Step 2: Convert to fraction form
    416,037.60/624,272.40 = 194,421.60/x
  3. Step 3: Cross multiply
    416,037.60x = 624,272.40 × 194,421.60
  4. Step 4: Simplify right side
    416,037.60x = 121,372,038,843.84
  5. Step 5: Solve for x
    x = 121,372,038,843.84/416,037.60
  6. Step 6: Final answer
    x = 291,733.34

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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.