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Finding the Fourth Proportional to 650,309.88, 975,775.86 and 229,783.80

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Solution

The fourth proportional to 650,309.88, 975,775.86 and 229,783.80 is: 344,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,309.88 : 975,775.86 = 229,783.80 : x
  2. Step 2: Convert to fraction form
    650,309.88/975,775.86 = 229,783.80/x
  3. Step 3: Cross multiply
    650,309.88x = 975,775.86 × 229,783.80
  4. Step 4: Simplify right side
    650,309.88x = 224,217,485,059.07
  5. Step 5: Solve for x
    x = 224,217,485,059.07/650,309.88
  6. Step 6: Final answer
    x = 344,785.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.