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Finding the Fourth Proportional to 477,090.77, 658,390.28 and 259,299.41

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Solution

The fourth proportional to 477,090.77, 658,390.28 and 259,299.41 is: 357,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,090.77 : 658,390.28 = 259,299.41 : x
  2. Step 2: Convert to fraction form
    477,090.77/658,390.28 = 259,299.41/x
  3. Step 3: Cross multiply
    477,090.77x = 658,390.28 × 259,299.41
  4. Step 4: Simplify right side
    477,090.77x = 170,720,206,565.29
  5. Step 5: Solve for x
    x = 170,720,206,565.29/477,090.77
  6. Step 6: Final answer
    x = 357,835.91

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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.