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Finding the Fourth Proportional to 504,886.12, 696,706.98 and 284,155.62

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Solution

The fourth proportional to 504,886.12, 696,706.98 and 284,155.62 is: 392,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,886.12 : 696,706.98 = 284,155.62 : x
  2. Step 2: Convert to fraction form
    504,886.12/696,706.98 = 284,155.62/x
  3. Step 3: Cross multiply
    504,886.12x = 696,706.98 × 284,155.62
  4. Step 4: Simplify right side
    504,886.12x = 197,973,203,860.23
  5. Step 5: Solve for x
    x = 197,973,203,860.23/504,886.12
  6. Step 6: Final answer
    x = 392,114.57

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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.