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Finding the Fourth Proportional to 464,457.60, 641,001.60 and 263,232

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Solution

The fourth proportional to 464,457.60, 641,001.60 and 263,232 is: 363,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,457.60 : 641,001.60 = 263,232 : x
  2. Step 2: Convert to fraction form
    464,457.60/641,001.60 = 263,232/x
  3. Step 3: Cross multiply
    464,457.60x = 641,001.60 × 263,232
  4. Step 4: Simplify right side
    464,457.60x = 168,732,133,171.20
  5. Step 5: Solve for x
    x = 168,732,133,171.20/464,457.60
  6. Step 6: Final answer
    x = 363,288.56

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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.