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Finding the Fourth Proportional to 413,076.77, 570,409.46 and 258,293.33

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Solution

The fourth proportional to 413,076.77, 570,409.46 and 258,293.33 is: 356,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,076.77 : 570,409.46 = 258,293.33 : x
  2. Step 2: Convert to fraction form
    413,076.77/570,409.46 = 258,293.33/x
  3. Step 3: Cross multiply
    413,076.77x = 570,409.46 × 258,293.33
  4. Step 4: Simplify right side
    413,076.77x = 147,332,957,595.44
  5. Step 5: Solve for x
    x = 147,332,957,595.44/413,076.77
  6. Step 6: Final answer
    x = 356,672.10

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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.