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Finding the Fourth Proportional to 458,262.80, 687,394.20 and 410,051.60

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Solution

The fourth proportional to 458,262.80, 687,394.20 and 410,051.60 is: 615,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,262.80 : 687,394.20 = 410,051.60 : x
  2. Step 2: Convert to fraction form
    458,262.80/687,394.20 = 410,051.60/x
  3. Step 3: Cross multiply
    458,262.80x = 687,394.20 × 410,051.60
  4. Step 4: Simplify right side
    458,262.80x = 281,867,091,540.72
  5. Step 5: Solve for x
    x = 281,867,091,540.72/458,262.80
  6. Step 6: Final answer
    x = 615,077.40

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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.