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Finding the Fourth Proportional to 495,414.54, 683,794.44 and 280,681.20

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Solution

The fourth proportional to 495,414.54, 683,794.44 and 280,681.20 is: 387,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,414.54 : 683,794.44 = 280,681.20 : x
  2. Step 2: Convert to fraction form
    495,414.54/683,794.44 = 280,681.20/x
  3. Step 3: Cross multiply
    495,414.54x = 683,794.44 × 280,681.20
  4. Step 4: Simplify right side
    495,414.54x = 191,928,243,972.53
  5. Step 5: Solve for x
    x = 191,928,243,972.53/495,414.54
  6. Step 6: Final answer
    x = 387,409.39

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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.