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Finding the Fourth Proportional to 735,746.76, 1,015,350.76 and 413,486.24

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Solution

The fourth proportional to 735,746.76, 1,015,350.76 and 413,486.24 is: 570,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,746.76 : 1,015,350.76 = 413,486.24 : x
  2. Step 2: Convert to fraction form
    735,746.76/1,015,350.76 = 413,486.24/x
  3. Step 3: Cross multiply
    735,746.76x = 1,015,350.76 × 413,486.24
  4. Step 4: Simplify right side
    735,746.76x = 419,833,568,033.54
  5. Step 5: Solve for x
    x = 419,833,568,033.54/735,746.76
  6. Step 6: Final answer
    x = 570,622.38

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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.