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Finding the Fourth Proportional to 409,709.20, 615,024.60 and 316,627.60

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Solution

The fourth proportional to 409,709.20, 615,024.60 and 316,627.60 is: 475,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,709.20 : 615,024.60 = 316,627.60 : x
  2. Step 2: Convert to fraction form
    409,709.20/615,024.60 = 316,627.60/x
  3. Step 3: Cross multiply
    409,709.20x = 615,024.60 × 316,627.60
  4. Step 4: Simplify right side
    409,709.20x = 194,733,763,038.96
  5. Step 5: Solve for x
    x = 194,733,763,038.96/409,709.20
  6. Step 6: Final answer
    x = 475,297.51

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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.