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Finding the Fourth Proportional to 312,513.60, 468,770.40 and 242,529.60

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Solution

The fourth proportional to 312,513.60, 468,770.40 and 242,529.60 is: 363,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,513.60 : 468,770.40 = 242,529.60 : x
  2. Step 2: Convert to fraction form
    312,513.60/468,770.40 = 242,529.60/x
  3. Step 3: Cross multiply
    312,513.60x = 468,770.40 × 242,529.60
  4. Step 4: Simplify right side
    312,513.60x = 113,690,697,603.84
  5. Step 5: Solve for x
    x = 113,690,697,603.84/312,513.60
  6. Step 6: Final answer
    x = 363,794.40

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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.