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Finding the Fourth Proportional to 495,674.03, 684,027.75 and 280,813.58

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Solution

The fourth proportional to 495,674.03, 684,027.75 and 280,813.58 is: 387,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,674.03 : 684,027.75 = 280,813.58 : x
  2. Step 2: Convert to fraction form
    495,674.03/684,027.75 = 280,813.58/x
  3. Step 3: Cross multiply
    495,674.03x = 684,027.75 × 280,813.58
  4. Step 4: Simplify right side
    495,674.03x = 192,084,285,342.52
  5. Step 5: Solve for x
    x = 192,084,285,342.52/495,674.03
  6. Step 6: Final answer
    x = 387,521.38

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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.