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Finding the Fourth Proportional to 569,916, 786,416.04 and 315,232.56

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Solution

The fourth proportional to 569,916, 786,416.04 and 315,232.56 is: 434,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,916 : 786,416.04 = 315,232.56 : x
  2. Step 2: Convert to fraction form
    569,916/786,416.04 = 315,232.56/x
  3. Step 3: Cross multiply
    569,916x = 786,416.04 × 315,232.56
  4. Step 4: Simplify right side
    569,916x = 247,903,941,514.26
  5. Step 5: Solve for x
    x = 247,903,941,514.26/569,916
  6. Step 6: Final answer
    x = 434,983.30

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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.