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Finding the Fourth Proportional to 263,428.44, 363,289.74 and 176,061

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Solution

The fourth proportional to 263,428.44, 363,289.74 and 176,061 is: 242,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,428.44 : 363,289.74 = 176,061 : x
  2. Step 2: Convert to fraction form
    263,428.44/363,289.74 = 176,061/x
  3. Step 3: Cross multiply
    263,428.44x = 363,289.74 × 176,061
  4. Step 4: Simplify right side
    263,428.44x = 63,961,154,914.14
  5. Step 5: Solve for x
    x = 63,961,154,914.14/263,428.44
  6. Step 6: Final answer
    x = 242,802.77

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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.