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Finding the Fourth Proportional to 922,186.26, 1,383,400.35 and 361,147.86

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Solution

The fourth proportional to 922,186.26, 1,383,400.35 and 361,147.86 is: 541,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,186.26 : 1,383,400.35 = 361,147.86 : x
  2. Step 2: Convert to fraction form
    922,186.26/1,383,400.35 = 361,147.86/x
  3. Step 3: Cross multiply
    922,186.26x = 1,383,400.35 × 361,147.86
  4. Step 4: Simplify right side
    922,186.26x = 499,612,075,925.75
  5. Step 5: Solve for x
    x = 499,612,075,925.75/922,186.26
  6. Step 6: Final answer
    x = 541,769.16

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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.