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Finding the Fourth Proportional to 442,040.81, 663,065.82 and 353,854.89

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Solution

The fourth proportional to 442,040.81, 663,065.82 and 353,854.89 is: 530,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,040.81 : 663,065.82 = 353,854.89 : x
  2. Step 2: Convert to fraction form
    442,040.81/663,065.82 = 353,854.89/x
  3. Step 3: Cross multiply
    442,040.81x = 663,065.82 × 353,854.89
  4. Step 4: Simplify right side
    442,040.81x = 234,629,082,798.86
  5. Step 5: Solve for x
    x = 234,629,082,798.86/442,040.81
  6. Step 6: Final answer
    x = 530,786.03

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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.