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Finding the Fourth Proportional to 652,257.10, 978,385.65 and 413,108.65

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Solution

The fourth proportional to 652,257.10, 978,385.65 and 413,108.65 is: 619,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,257.10 : 978,385.65 = 413,108.65 : x
  2. Step 2: Convert to fraction form
    652,257.10/978,385.65 = 413,108.65/x
  3. Step 3: Cross multiply
    652,257.10x = 978,385.65 × 413,108.65
  4. Step 4: Simplify right side
    652,257.10x = 404,179,575,050.87
  5. Step 5: Solve for x
    x = 404,179,575,050.87/652,257.10
  6. Step 6: Final answer
    x = 619,662.98

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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.