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Finding the Fourth Proportional to 285,465.28, 393,720.32 and 194,894.24

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Solution

The fourth proportional to 285,465.28, 393,720.32 and 194,894.24 is: 268,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,465.28 : 393,720.32 = 194,894.24 : x
  2. Step 2: Convert to fraction form
    285,465.28/393,720.32 = 194,894.24/x
  3. Step 3: Cross multiply
    285,465.28x = 393,720.32 × 194,894.24
  4. Step 4: Simplify right side
    285,465.28x = 76,733,822,538.96
  5. Step 5: Solve for x
    x = 76,733,822,538.96/285,465.28
  6. Step 6: Final answer
    x = 268,802.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.