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Finding the Fourth Proportional to 467,455.09, 644,980.91 and 295,165.96

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Solution

The fourth proportional to 467,455.09, 644,980.91 and 295,165.96 is: 407,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,455.09 : 644,980.91 = 295,165.96 : x
  2. Step 2: Convert to fraction form
    467,455.09/644,980.91 = 295,165.96/x
  3. Step 3: Cross multiply
    467,455.09x = 644,980.91 × 295,165.96
  4. Step 4: Simplify right side
    467,455.09x = 190,376,406,256.92
  5. Step 5: Solve for x
    x = 190,376,406,256.92/467,455.09
  6. Step 6: Final answer
    x = 407,261.39

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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.