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Finding the Fourth Proportional to 474,077.58, 654,202.89 and 259,175.94

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Solution

The fourth proportional to 474,077.58, 654,202.89 and 259,175.94 is: 357,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,077.58 : 654,202.89 = 259,175.94 : x
  2. Step 2: Convert to fraction form
    474,077.58/654,202.89 = 259,175.94/x
  3. Step 3: Cross multiply
    474,077.58x = 654,202.89 × 259,175.94
  4. Step 4: Simplify right side
    474,077.58x = 169,553,648,966.47
  5. Step 5: Solve for x
    x = 169,553,648,966.47/474,077.58
  6. Step 6: Final answer
    x = 357,649.58

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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.