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Finding the Fourth Proportional to 320,975.71, 481,543.52 and 96,340.30

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Solution

The fourth proportional to 320,975.71, 481,543.52 and 96,340.30 is: 144,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,975.71 : 481,543.52 = 96,340.30 : x
  2. Step 2: Convert to fraction form
    320,975.71/481,543.52 = 96,340.30/x
  3. Step 3: Cross multiply
    320,975.71x = 481,543.52 × 96,340.30
  4. Step 4: Simplify right side
    320,975.71x = 46,392,047,179.86
  5. Step 5: Solve for x
    x = 46,392,047,179.86/320,975.71
  6. Step 6: Final answer
    x = 144,534.45

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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.