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Finding the Fourth Proportional to 495,996.96, 684,529.32 and 281,113.95

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Solution

The fourth proportional to 495,996.96, 684,529.32 and 281,113.95 is: 387,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,996.96 : 684,529.32 = 281,113.95 : x
  2. Step 2: Convert to fraction form
    495,996.96/684,529.32 = 281,113.95/x
  3. Step 3: Cross multiply
    495,996.96x = 684,529.32 × 281,113.95
  4. Step 4: Simplify right side
    495,996.96x = 192,430,741,036.01
  5. Step 5: Solve for x
    x = 192,430,741,036.01/495,996.96
  6. Step 6: Final answer
    x = 387,967.58

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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.