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Finding the Fourth Proportional to 358,103.20, 537,403.20 and 269,543.20

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Solution

The fourth proportional to 358,103.20, 537,403.20 and 269,543.20 is: 404,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,103.20 : 537,403.20 = 269,543.20 : x
  2. Step 2: Convert to fraction form
    358,103.20/537,403.20 = 269,543.20/x
  3. Step 3: Cross multiply
    358,103.20x = 537,403.20 × 269,543.20
  4. Step 4: Simplify right side
    358,103.20x = 144,853,378,218.24
  5. Step 5: Solve for x
    x = 144,853,378,218.24/358,103.20
  6. Step 6: Final answer
    x = 404,501.77

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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.