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Finding the Fourth Proportional to 410,242.96, 615,477.44 and 143,968.42

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Solution

The fourth proportional to 410,242.96, 615,477.44 and 143,968.42 is: 215,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,242.96 : 615,477.44 = 143,968.42 : x
  2. Step 2: Convert to fraction form
    410,242.96/615,477.44 = 143,968.42/x
  3. Step 3: Cross multiply
    410,242.96x = 615,477.44 × 143,968.42
  4. Step 4: Simplify right side
    410,242.96x = 88,609,314,582.44
  5. Step 5: Solve for x
    x = 88,609,314,582.44/410,242.96
  6. Step 6: Final answer
    x = 215,992.29

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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.