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Finding the Fourth Proportional to 410,416.40, 615,624.60 and 361,427.60

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Solution

The fourth proportional to 410,416.40, 615,624.60 and 361,427.60 is: 542,141.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,416.40 : 615,624.60 = 361,427.60 : x
  2. Step 2: Convert to fraction form
    410,416.40/615,624.60 = 361,427.60/x
  3. Step 3: Cross multiply
    410,416.40x = 615,624.60 × 361,427.60
  4. Step 4: Simplify right side
    410,416.40x = 222,503,721,678.96
  5. Step 5: Solve for x
    x = 222,503,721,678.96/410,416.40
  6. Step 6: Final answer
    x = 542,141.40

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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.