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Finding the Fourth Proportional to 410,906.88, 566,882.64 and 249,735.96

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Solution

The fourth proportional to 410,906.88, 566,882.64 and 249,735.96 is: 344,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,906.88 : 566,882.64 = 249,735.96 : x
  2. Step 2: Convert to fraction form
    410,906.88/566,882.64 = 249,735.96/x
  3. Step 3: Cross multiply
    410,906.88x = 566,882.64 × 249,735.96
  4. Step 4: Simplify right side
    410,906.88x = 141,570,980,307.73
  5. Step 5: Solve for x
    x = 141,570,980,307.73/410,906.88
  6. Step 6: Final answer
    x = 344,533.00

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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.