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Finding the Fourth Proportional to 495,727.28, 684,101.86 and 280,908.39

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Solution

The fourth proportional to 495,727.28, 684,101.86 and 280,908.39 is: 387,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,727.28 : 684,101.86 = 280,908.39 : x
  2. Step 2: Convert to fraction form
    495,727.28/684,101.86 = 280,908.39/x
  3. Step 3: Cross multiply
    495,727.28x = 684,101.86 × 280,908.39
  4. Step 4: Simplify right side
    495,727.28x = 192,169,952,088.61
  5. Step 5: Solve for x
    x = 192,169,952,088.61/495,727.28
  6. Step 6: Final answer
    x = 387,652.57

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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.