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Finding the Fourth Proportional to 410,147.60, 615,221.40 and 188,531.60

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Solution

The fourth proportional to 410,147.60, 615,221.40 and 188,531.60 is: 282,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.60 : 615,221.40 = 188,531.60 : x
  2. Step 2: Convert to fraction form
    410,147.60/615,221.40 = 188,531.60/x
  3. Step 3: Cross multiply
    410,147.60x = 615,221.40 × 188,531.60
  4. Step 4: Simplify right side
    410,147.60x = 115,988,674,896.24
  5. Step 5: Solve for x
    x = 115,988,674,896.24/410,147.60
  6. Step 6: Final answer
    x = 282,797.40

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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.