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Finding the Fourth Proportional to 409,977.60, 615,225.60 and 241,497.60

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Solution

The fourth proportional to 409,977.60, 615,225.60 and 241,497.60 is: 362,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,977.60 : 615,225.60 = 241,497.60 : x
  2. Step 2: Convert to fraction form
    409,977.60/615,225.60 = 241,497.60/x
  3. Step 3: Cross multiply
    409,977.60x = 615,225.60 × 241,497.60
  4. Step 4: Simplify right side
    409,977.60x = 148,575,505,858.56
  5. Step 5: Solve for x
    x = 148,575,505,858.56/409,977.60
  6. Step 6: Final answer
    x = 362,399.08

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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.