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Finding the Fourth Proportional to 477,050.24, 658,326.72 and 259,256.96

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Solution

The fourth proportional to 477,050.24, 658,326.72 and 259,256.96 is: 357,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,050.24 : 658,326.72 = 259,256.96 : x
  2. Step 2: Convert to fraction form
    477,050.24/658,326.72 = 259,256.96/x
  3. Step 3: Cross multiply
    477,050.24x = 658,326.72 × 259,256.96
  4. Step 4: Simplify right side
    477,050.24x = 170,675,784,113.97
  5. Step 5: Solve for x
    x = 170,675,784,113.97/477,050.24
  6. Step 6: Final answer
    x = 357,773.19

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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.