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Finding the Fourth Proportional to 475,470.96, 713,206.44 and 195,120.24

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Solution

The fourth proportional to 475,470.96, 713,206.44 and 195,120.24 is: 292,680.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,470.96 : 713,206.44 = 195,120.24 : x
  2. Step 2: Convert to fraction form
    475,470.96/713,206.44 = 195,120.24/x
  3. Step 3: Cross multiply
    475,470.96x = 713,206.44 × 195,120.24
  4. Step 4: Simplify right side
    475,470.96x = 139,161,011,742.35
  5. Step 5: Solve for x
    x = 139,161,011,742.35/475,470.96
  6. Step 6: Final answer
    x = 292,680.36

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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.