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Finding the Fourth Proportional to 382,559.17, 573,870.89 and 116,322

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Solution

The fourth proportional to 382,559.17, 573,870.89 and 116,322 is: 174,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,559.17 : 573,870.89 = 116,322 : x
  2. Step 2: Convert to fraction form
    382,559.17/573,870.89 = 116,322/x
  3. Step 3: Cross multiply
    382,559.17x = 573,870.89 × 116,322
  4. Step 4: Simplify right side
    382,559.17x = 66,753,809,666.58
  5. Step 5: Solve for x
    x = 66,753,809,666.58/382,559.17
  6. Step 6: Final answer
    x = 174,492.77

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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.