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Finding the Fourth Proportional to 504,463.38, 696,164.85 and 278,116.98

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Solution

The fourth proportional to 504,463.38, 696,164.85 and 278,116.98 is: 383,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,463.38 : 696,164.85 = 278,116.98 : x
  2. Step 2: Convert to fraction form
    504,463.38/696,164.85 = 278,116.98/x
  3. Step 3: Cross multiply
    504,463.38x = 696,164.85 × 278,116.98
  4. Step 4: Simplify right side
    504,463.38x = 193,615,265,664.15
  5. Step 5: Solve for x
    x = 193,615,265,664.15/504,463.38
  6. Step 6: Final answer
    x = 383,804.40

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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.