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Finding the Fourth Proportional to 477,766.06, 659,308.80 and 259,967.38

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Solution

The fourth proportional to 477,766.06, 659,308.80 and 259,967.38 is: 358,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,766.06 : 659,308.80 = 259,967.38 : x
  2. Step 2: Convert to fraction form
    477,766.06/659,308.80 = 259,967.38/x
  3. Step 3: Cross multiply
    477,766.06x = 659,308.80 × 259,967.38
  4. Step 4: Simplify right side
    477,766.06x = 171,398,781,346.94
  5. Step 5: Solve for x
    x = 171,398,781,346.94/477,766.06
  6. Step 6: Final answer
    x = 358,750.43

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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.