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Finding the Fourth Proportional to 504,886.62, 696,707.67 and 284,156.12

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Solution

The fourth proportional to 504,886.62, 696,707.67 and 284,156.12 is: 392,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,886.62 : 696,707.67 = 284,156.12 : x
  2. Step 2: Convert to fraction form
    504,886.62/696,707.67 = 284,156.12/x
  3. Step 3: Cross multiply
    504,886.62x = 696,707.67 × 284,156.12
  4. Step 4: Simplify right side
    504,886.62x = 197,973,744,797.90
  5. Step 5: Solve for x
    x = 197,973,744,797.90/504,886.62
  6. Step 6: Final answer
    x = 392,115.25

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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.