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Finding the Fourth Proportional to 332,467.60, 498,701.40 and 107,827.60

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Solution

The fourth proportional to 332,467.60, 498,701.40 and 107,827.60 is: 161,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,467.60 : 498,701.40 = 107,827.60 : x
  2. Step 2: Convert to fraction form
    332,467.60/498,701.40 = 107,827.60/x
  3. Step 3: Cross multiply
    332,467.60x = 498,701.40 × 107,827.60
  4. Step 4: Simplify right side
    332,467.60x = 53,773,775,078.64
  5. Step 5: Solve for x
    x = 53,773,775,078.64/332,467.60
  6. Step 6: Final answer
    x = 161,741.40

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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.