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Finding the Fourth Proportional to 349,780.80, 524,674.08 and 217,047.36

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Solution

The fourth proportional to 349,780.80, 524,674.08 and 217,047.36 is: 325,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,780.80 : 524,674.08 = 217,047.36 : x
  2. Step 2: Convert to fraction form
    349,780.80/524,674.08 = 217,047.36/x
  3. Step 3: Cross multiply
    349,780.80x = 524,674.08 × 217,047.36
  4. Step 4: Simplify right side
    349,780.80x = 113,879,123,924.43
  5. Step 5: Solve for x
    x = 113,879,123,924.43/349,780.80
  6. Step 6: Final answer
    x = 325,572.83

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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.