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Finding the Fourth Proportional to 508,954.06, 763,194.12 and 188,883.01

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Solution

The fourth proportional to 508,954.06, 763,194.12 and 188,883.01 is: 283,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,954.06 : 763,194.12 = 188,883.01 : x
  2. Step 2: Convert to fraction form
    508,954.06/763,194.12 = 188,883.01/x
  3. Step 3: Cross multiply
    508,954.06x = 763,194.12 × 188,883.01
  4. Step 4: Simplify right side
    508,954.06x = 144,154,402,599.90
  5. Step 5: Solve for x
    x = 144,154,402,599.90/508,954.06
  6. Step 6: Final answer
    x = 283,236.57

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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.