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Finding the Fourth Proportional to 652,284.10, 978,426.15 and 413,135.65

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Solution

The fourth proportional to 652,284.10, 978,426.15 and 413,135.65 is: 619,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,284.10 : 978,426.15 = 413,135.65 : x
  2. Step 2: Convert to fraction form
    652,284.10/978,426.15 = 413,135.65/x
  3. Step 3: Cross multiply
    652,284.10x = 978,426.15 × 413,135.65
  4. Step 4: Simplify right side
    652,284.10x = 404,222,723,457.25
  5. Step 5: Solve for x
    x = 404,222,723,457.25/652,284.10
  6. Step 6: Final answer
    x = 619,703.48

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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.