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Finding the Fourth Proportional to 319,055.69, 478,464.38 and 105,784.49

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Solution

The fourth proportional to 319,055.69, 478,464.38 and 105,784.49 is: 158,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,055.69 : 478,464.38 = 105,784.49 : x
  2. Step 2: Convert to fraction form
    319,055.69/478,464.38 = 105,784.49/x
  3. Step 3: Cross multiply
    319,055.69x = 478,464.38 × 105,784.49
  4. Step 4: Simplify right side
    319,055.69x = 50,614,109,892.54
  5. Step 5: Solve for x
    x = 50,614,109,892.54/319,055.69
  6. Step 6: Final answer
    x = 158,637.23

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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.