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Finding the Fourth Proportional to 475,847.10, 656,693.06 and 261,007.16

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Solution

The fourth proportional to 475,847.10, 656,693.06 and 261,007.16 is: 360,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,847.10 : 656,693.06 = 261,007.16 : x
  2. Step 2: Convert to fraction form
    475,847.10/656,693.06 = 261,007.16/x
  3. Step 3: Cross multiply
    475,847.10x = 656,693.06 × 261,007.16
  4. Step 4: Simplify right side
    475,847.10x = 171,401,585,993.81
  5. Step 5: Solve for x
    x = 171,401,585,993.81/475,847.10
  6. Step 6: Final answer
    x = 360,203.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.