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Finding the Fourth Proportional to 433,513.20, 650,269.80 and 208,981.20

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Solution

The fourth proportional to 433,513.20, 650,269.80 and 208,981.20 is: 313,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,513.20 : 650,269.80 = 208,981.20 : x
  2. Step 2: Convert to fraction form
    433,513.20/650,269.80 = 208,981.20/x
  3. Step 3: Cross multiply
    433,513.20x = 650,269.80 × 208,981.20
  4. Step 4: Simplify right side
    433,513.20x = 135,894,163,127.76
  5. Step 5: Solve for x
    x = 135,894,163,127.76/433,513.20
  6. Step 6: Final answer
    x = 313,471.80

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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.