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Finding the Fourth Proportional to 410,038.60, 615,057.90 and 188,422.60

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Solution

The fourth proportional to 410,038.60, 615,057.90 and 188,422.60 is: 282,633.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,038.60 : 615,057.90 = 188,422.60 : x
  2. Step 2: Convert to fraction form
    410,038.60/615,057.90 = 188,422.60/x
  3. Step 3: Cross multiply
    410,038.60x = 615,057.90 × 188,422.60
  4. Step 4: Simplify right side
    410,038.60x = 115,890,808,668.54
  5. Step 5: Solve for x
    x = 115,890,808,668.54/410,038.60
  6. Step 6: Final answer
    x = 282,633.90

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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.