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Finding the Fourth Proportional to 518,970.24, 716,584.32 and 406,114.56

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Solution

The fourth proportional to 518,970.24, 716,584.32 and 406,114.56 is: 560,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,970.24 : 716,584.32 = 406,114.56 : x
  2. Step 2: Convert to fraction form
    518,970.24/716,584.32 = 406,114.56/x
  3. Step 3: Cross multiply
    518,970.24x = 716,584.32 × 406,114.56
  4. Step 4: Simplify right side
    518,970.24x = 291,015,325,819.70
  5. Step 5: Solve for x
    x = 291,015,325,819.70/518,970.24
  6. Step 6: Final answer
    x = 560,755.33

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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.