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Finding the Fourth Proportional to 446,257.24, 615,842.05 and 242,308.05

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Solution

The fourth proportional to 446,257.24, 615,842.05 and 242,308.05 is: 334,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,257.24 : 615,842.05 = 242,308.05 : x
  2. Step 2: Convert to fraction form
    446,257.24/615,842.05 = 242,308.05/x
  3. Step 3: Cross multiply
    446,257.24x = 615,842.05 × 242,308.05
  4. Step 4: Simplify right side
    446,257.24x = 149,223,486,243.50
  5. Step 5: Solve for x
    x = 149,223,486,243.50/446,257.24
  6. Step 6: Final answer
    x = 334,388.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.