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Finding the Fourth Proportional to 477,959.88, 659,216.22 and 296,779.08

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Solution

The fourth proportional to 477,959.88, 659,216.22 and 296,779.08 is: 409,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,959.88 : 659,216.22 = 296,779.08 : x
  2. Step 2: Convert to fraction form
    477,959.88/659,216.22 = 296,779.08/x
  3. Step 3: Cross multiply
    477,959.88x = 659,216.22 × 296,779.08
  4. Step 4: Simplify right side
    477,959.88x = 195,641,583,292.68
  5. Step 5: Solve for x
    x = 195,641,583,292.68/477,959.88
  6. Step 6: Final answer
    x = 409,326.37

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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.