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Finding the Fourth Proportional to 495,668.46, 684,056.31 and 280,810.29

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Solution

The fourth proportional to 495,668.46, 684,056.31 and 280,810.29 is: 387,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,668.46 : 684,056.31 = 280,810.29 : x
  2. Step 2: Convert to fraction form
    495,668.46/684,056.31 = 280,810.29/x
  3. Step 3: Cross multiply
    495,668.46x = 684,056.31 × 280,810.29
  4. Step 4: Simplify right side
    495,668.46x = 192,090,050,787.43
  5. Step 5: Solve for x
    x = 192,090,050,787.43/495,668.46
  6. Step 6: Final answer
    x = 387,537.37

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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.