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Finding the Fourth Proportional to 320,470.74, 480,609.18 and 107,184.15

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Solution

The fourth proportional to 320,470.74, 480,609.18 and 107,184.15 is: 160,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,470.74 : 480,609.18 = 107,184.15 : x
  2. Step 2: Convert to fraction form
    320,470.74/480,609.18 = 107,184.15/x
  3. Step 3: Cross multiply
    320,470.74x = 480,609.18 × 107,184.15
  4. Step 4: Simplify right side
    320,470.74x = 51,513,686,440.50
  5. Step 5: Solve for x
    x = 51,513,686,440.50/320,470.74
  6. Step 6: Final answer
    x = 160,743.81

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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.