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Finding the Fourth Proportional to 297,024.71, 445,513.75 and 83,783.98

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Solution

The fourth proportional to 297,024.71, 445,513.75 and 83,783.98 is: 125,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,024.71 : 445,513.75 = 83,783.98 : x
  2. Step 2: Convert to fraction form
    297,024.71/445,513.75 = 83,783.98/x
  3. Step 3: Cross multiply
    297,024.71x = 445,513.75 × 83,783.98
  4. Step 4: Simplify right side
    297,024.71x = 37,326,915,119.73
  5. Step 5: Solve for x
    x = 37,326,915,119.73/297,024.71
  6. Step 6: Final answer
    x = 125,669.39

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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.