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Finding the Fourth Proportional to 241,406.40, 362,109.60 and 185,419.20

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Solution

The fourth proportional to 241,406.40, 362,109.60 and 185,419.20 is: 278,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,406.40 : 362,109.60 = 185,419.20 : x
  2. Step 2: Convert to fraction form
    241,406.40/362,109.60 = 185,419.20/x
  3. Step 3: Cross multiply
    241,406.40x = 362,109.60 × 185,419.20
  4. Step 4: Simplify right side
    241,406.40x = 67,142,072,344.32
  5. Step 5: Solve for x
    x = 67,142,072,344.32/241,406.40
  6. Step 6: Final answer
    x = 278,128.80

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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.