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Finding the Fourth Proportional to 410,064.60, 615,096.90 and 309,025.20

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Solution

The fourth proportional to 410,064.60, 615,096.90 and 309,025.20 is: 463,537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,064.60 : 615,096.90 = 309,025.20 : x
  2. Step 2: Convert to fraction form
    410,064.60/615,096.90 = 309,025.20/x
  3. Step 3: Cross multiply
    410,064.60x = 615,096.90 × 309,025.20
  4. Step 4: Simplify right side
    410,064.60x = 190,080,442,541.88
  5. Step 5: Solve for x
    x = 190,080,442,541.88/410,064.60
  6. Step 6: Final answer
    x = 463,537.80

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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.