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Finding the Fourth Proportional to 410,090.60, 615,135.90 and 305,114.60

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Solution

The fourth proportional to 410,090.60, 615,135.90 and 305,114.60 is: 457,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,090.60 : 615,135.90 = 305,114.60 : x
  2. Step 2: Convert to fraction form
    410,090.60/615,135.90 = 305,114.60/x
  3. Step 3: Cross multiply
    410,090.60x = 615,135.90 × 305,114.60
  4. Step 4: Simplify right side
    410,090.60x = 187,686,944,074.14
  5. Step 5: Solve for x
    x = 187,686,944,074.14/410,090.60
  6. Step 6: Final answer
    x = 457,671.90

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1.5x scale

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.