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Finding the Fourth Proportional to 414,700.10, 622,133.19 and 130,462.19

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Solution

The fourth proportional to 414,700.10, 622,133.19 and 130,462.19 is: 195,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,700.10 : 622,133.19 = 130,462.19 : x
  2. Step 2: Convert to fraction form
    414,700.10/622,133.19 = 130,462.19/x
  3. Step 3: Cross multiply
    414,700.10x = 622,133.19 × 130,462.19
  4. Step 4: Simplify right side
    414,700.10x = 81,164,855,328.42
  5. Step 5: Solve for x
    x = 81,164,855,328.42/414,700.10
  6. Step 6: Final answer
    x = 195,719.40

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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.