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Finding the Fourth Proportional to 504,605.38, 696,360.64 and 278,258.98

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Solution

The fourth proportional to 504,605.38, 696,360.64 and 278,258.98 is: 384,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,605.38 : 696,360.64 = 278,258.98 : x
  2. Step 2: Convert to fraction form
    504,605.38/696,360.64 = 278,258.98/x
  3. Step 3: Cross multiply
    504,605.38x = 696,360.64 × 278,258.98
  4. Step 4: Simplify right side
    504,605.38x = 193,768,601,398.55
  5. Step 5: Solve for x
    x = 193,768,601,398.55/504,605.38
  6. Step 6: Final answer
    x = 384,000.27

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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.