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Finding the Fourth Proportional to 358,744.94, 495,024.88 and 205,775.22

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Solution

The fourth proportional to 358,744.94, 495,024.88 and 205,775.22 is: 283,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,744.94 : 495,024.88 = 205,775.22 : x
  2. Step 2: Convert to fraction form
    358,744.94/495,024.88 = 205,775.22/x
  3. Step 3: Cross multiply
    358,744.94x = 495,024.88 × 205,775.22
  4. Step 4: Simplify right side
    358,744.94x = 101,863,854,825.04
  5. Step 5: Solve for x
    x = 101,863,854,825.04/358,744.94
  6. Step 6: Final answer
    x = 283,945.07

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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.