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Finding the Fourth Proportional to 495,787.84, 684,102.72 and 280,883.52

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Solution

The fourth proportional to 495,787.84, 684,102.72 and 280,883.52 is: 387,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,787.84 : 684,102.72 = 280,883.52 : x
  2. Step 2: Convert to fraction form
    495,787.84/684,102.72 = 280,883.52/x
  3. Step 3: Cross multiply
    495,787.84x = 684,102.72 × 280,883.52
  4. Step 4: Simplify right side
    495,787.84x = 192,153,180,035.17
  5. Step 5: Solve for x
    x = 192,153,180,035.17/495,787.84
  6. Step 6: Final answer
    x = 387,571.39

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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.