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Finding the Fourth Proportional to 567,535.50, 783,204.30 and 312,895.80

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Solution

The fourth proportional to 567,535.50, 783,204.30 and 312,895.80 is: 431,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,535.50 : 783,204.30 = 312,895.80 : x
  2. Step 2: Convert to fraction form
    567,535.50/783,204.30 = 312,895.80/x
  3. Step 3: Cross multiply
    567,535.50x = 783,204.30 × 312,895.80
  4. Step 4: Simplify right side
    567,535.50x = 245,061,336,011.94
  5. Step 5: Solve for x
    x = 245,061,336,011.94/567,535.50
  6. Step 6: Final answer
    x = 431,799.13

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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.