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Finding the Fourth Proportional to 414,065.40, 619,785.90 and 295,967.40

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Solution

The fourth proportional to 414,065.40, 619,785.90 and 295,967.40 is: 443,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,065.40 : 619,785.90 = 295,967.40 : x
  2. Step 2: Convert to fraction form
    414,065.40/619,785.90 = 295,967.40/x
  3. Step 3: Cross multiply
    414,065.40x = 619,785.90 × 295,967.40
  4. Step 4: Simplify right side
    414,065.40x = 183,436,421,379.66
  5. Step 5: Solve for x
    x = 183,436,421,379.66/414,065.40
  6. Step 6: Final answer
    x = 443,013.16

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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.