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Finding the Fourth Proportional to 671,338.76, 926,467.47 and 413,364.56

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Solution

The fourth proportional to 671,338.76, 926,467.47 and 413,364.56 is: 570,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,338.76 : 926,467.47 = 413,364.56 : x
  2. Step 2: Convert to fraction form
    671,338.76/926,467.47 = 413,364.56/x
  3. Step 3: Cross multiply
    671,338.76x = 926,467.47 × 413,364.56
  4. Step 4: Simplify right side
    671,338.76x = 382,968,813,458.53
  5. Step 5: Solve for x
    x = 382,968,813,458.53/671,338.76
  6. Step 6: Final answer
    x = 570,455.39

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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.