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Finding the Fourth Proportional to 499,808.64, 689,753.13 and 273,454.14

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Solution

The fourth proportional to 499,808.64, 689,753.13 and 273,454.14 is: 377,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,808.64 : 689,753.13 = 273,454.14 : x
  2. Step 2: Convert to fraction form
    499,808.64/689,753.13 = 273,454.14/x
  3. Step 3: Cross multiply
    499,808.64x = 689,753.13 × 273,454.14
  4. Step 4: Simplify right side
    499,808.64x = 188,615,848,976.46
  5. Step 5: Solve for x
    x = 188,615,848,976.46/499,808.64
  6. Step 6: Final answer
    x = 377,376.13

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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.