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Finding the Fourth Proportional to 289,406.60, 434,109.90 and 242,750.60

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Solution

The fourth proportional to 289,406.60, 434,109.90 and 242,750.60 is: 364,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,406.60 : 434,109.90 = 242,750.60 : x
  2. Step 2: Convert to fraction form
    289,406.60/434,109.90 = 242,750.60/x
  3. Step 3: Cross multiply
    289,406.60x = 434,109.90 × 242,750.60
  4. Step 4: Simplify right side
    289,406.60x = 105,380,438,690.94
  5. Step 5: Solve for x
    x = 105,380,438,690.94/289,406.60
  6. Step 6: Final answer
    x = 364,125.90

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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.