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Finding the Fourth Proportional to 358,864.49, 495,253.66 and 205,901.27

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Solution

The fourth proportional to 358,864.49, 495,253.66 and 205,901.27 is: 284,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,864.49 : 495,253.66 = 205,901.27 : x
  2. Step 2: Convert to fraction form
    358,864.49/495,253.66 = 205,901.27/x
  3. Step 3: Cross multiply
    358,864.49x = 495,253.66 × 205,901.27
  4. Step 4: Simplify right side
    358,864.49x = 101,973,354,575.13
  5. Step 5: Solve for x
    x = 101,973,354,575.13/358,864.49
  6. Step 6: Final answer
    x = 284,155.60

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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.