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Finding the Fourth Proportional to 319,047.86, 478,120.73 and 176,955.74

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Solution

The fourth proportional to 319,047.86, 478,120.73 and 176,955.74 is: 265,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,047.86 : 478,120.73 = 176,955.74 : x
  2. Step 2: Convert to fraction form
    319,047.86/478,120.73 = 176,955.74/x
  3. Step 3: Cross multiply
    319,047.86x = 478,120.73 × 176,955.74
  4. Step 4: Simplify right side
    319,047.86x = 84,606,206,104.06
  5. Step 5: Solve for x
    x = 84,606,206,104.06/319,047.86
  6. Step 6: Final answer
    x = 265,183.43

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Why These Related Problems?

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