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Finding the Fourth Proportional to 504,579.57, 695,754.15 and 412,412.90

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Solution

The fourth proportional to 504,579.57, 695,754.15 and 412,412.90 is: 568,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,579.57 : 695,754.15 = 412,412.90 : x
  2. Step 2: Convert to fraction form
    504,579.57/695,754.15 = 412,412.90/x
  3. Step 3: Cross multiply
    504,579.57x = 695,754.15 × 412,412.90
  4. Step 4: Simplify right side
    504,579.57x = 286,937,987,443.98
  5. Step 5: Solve for x
    x = 286,937,987,443.98/504,579.57
  6. Step 6: Final answer
    x = 568,667.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.