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Finding the Fourth Proportional to 506,881.76, 760,584.72 and 222,771.64

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Solution

The fourth proportional to 506,881.76, 760,584.72 and 222,771.64 is: 334,272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,881.76 : 760,584.72 = 222,771.64 : x
  2. Step 2: Convert to fraction form
    506,881.76/760,584.72 = 222,771.64/x
  3. Step 3: Cross multiply
    506,881.76x = 760,584.72 × 222,771.64
  4. Step 4: Simplify right side
    506,881.76x = 169,436,705,433.34
  5. Step 5: Solve for x
    x = 169,436,705,433.34/506,881.76
  6. Step 6: Final answer
    x = 334,272.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.