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Finding the Fourth Proportional to 308,966.40, 463,017.60 and 245,894.40

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Solution

The fourth proportional to 308,966.40, 463,017.60 and 245,894.40 is: 368,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,966.40 : 463,017.60 = 245,894.40 : x
  2. Step 2: Convert to fraction form
    308,966.40/463,017.60 = 245,894.40/x
  3. Step 3: Cross multiply
    308,966.40x = 463,017.60 × 245,894.40
  4. Step 4: Simplify right side
    308,966.40x = 113,853,434,941.44
  5. Step 5: Solve for x
    x = 113,853,434,941.44/308,966.40
  6. Step 6: Final answer
    x = 368,497.79

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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.