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Finding the Fourth Proportional to 295,416.40, 442,606.20 and 242,539.60

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Solution

The fourth proportional to 295,416.40, 442,606.20 and 242,539.60 is: 363,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,416.40 : 442,606.20 = 242,539.60 : x
  2. Step 2: Convert to fraction form
    295,416.40/442,606.20 = 242,539.60/x
  3. Step 3: Cross multiply
    295,416.40x = 442,606.20 × 242,539.60
  4. Step 4: Simplify right side
    295,416.40x = 107,349,530,705.52
  5. Step 5: Solve for x
    x = 107,349,530,705.52/295,416.40
  6. Step 6: Final answer
    x = 363,383.79

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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.