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Finding the Fourth Proportional to 378,364.88, 567,281.21 and 175,745.87

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Solution

The fourth proportional to 378,364.88, 567,281.21 and 175,745.87 is: 263,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,364.88 : 567,281.21 = 175,745.87 : x
  2. Step 2: Convert to fraction form
    378,364.88/567,281.21 = 175,745.87/x
  3. Step 3: Cross multiply
    378,364.88x = 567,281.21 × 175,745.87
  4. Step 4: Simplify right side
    378,364.88x = 99,697,326,070.97
  5. Step 5: Solve for x
    x = 99,697,326,070.97/378,364.88
  6. Step 6: Final answer
    x = 263,495.19

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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.