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Finding the Fourth Proportional to 410,363.44, 615,124.27 and 157,575.87

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Solution

The fourth proportional to 410,363.44, 615,124.27 and 157,575.87 is: 236,202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,363.44 : 615,124.27 = 157,575.87 : x
  2. Step 2: Convert to fraction form
    410,363.44/615,124.27 = 157,575.87/x
  3. Step 3: Cross multiply
    410,363.44x = 615,124.27 × 157,575.87
  4. Step 4: Simplify right side
    410,363.44x = 96,928,742,003.36
  5. Step 5: Solve for x
    x = 96,928,742,003.36/410,363.44
  6. Step 6: Final answer
    x = 236,202.19

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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.