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Finding the Fourth Proportional to 319,054.44, 478,462.50 and 105,783.24

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Solution

The fourth proportional to 319,054.44, 478,462.50 and 105,783.24 is: 158,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,054.44 : 478,462.50 = 105,783.24 : x
  2. Step 2: Convert to fraction form
    319,054.44/478,462.50 = 105,783.24/x
  3. Step 3: Cross multiply
    319,054.44x = 478,462.50 × 105,783.24
  4. Step 4: Simplify right side
    319,054.44x = 50,613,313,468.50
  5. Step 5: Solve for x
    x = 50,613,313,468.50/319,054.44
  6. Step 6: Final answer
    x = 158,635.35

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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.