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Finding the Fourth Proportional to 495,886.77, 684,309.36 and 281,046.69

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Solution

The fourth proportional to 495,886.77, 684,309.36 and 281,046.69 is: 387,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,886.77 : 684,309.36 = 281,046.69 : x
  2. Step 2: Convert to fraction form
    495,886.77/684,309.36 = 281,046.69/x
  3. Step 3: Cross multiply
    495,886.77x = 684,309.36 × 281,046.69
  4. Step 4: Simplify right side
    495,886.77x = 192,322,880,564.02
  5. Step 5: Solve for x
    x = 192,322,880,564.02/495,886.77
  6. Step 6: Final answer
    x = 387,836.28

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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.