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Finding the Fourth Proportional to 384,520, 575,975.68 and 309,232.48

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Solution

The fourth proportional to 384,520, 575,975.68 and 309,232.48 is: 463,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,520 : 575,975.68 = 309,232.48 : x
  2. Step 2: Convert to fraction form
    384,520/575,975.68 = 309,232.48/x
  3. Step 3: Cross multiply
    384,520x = 575,975.68 × 309,232.48
  4. Step 4: Simplify right side
    384,520x = 178,110,387,946.09
  5. Step 5: Solve for x
    x = 178,110,387,946.09/384,520
  6. Step 6: Final answer
    x = 463,201.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.