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Finding the Fourth Proportional to 567,065.94, 782,552.94 and 312,416.52

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Solution

The fourth proportional to 567,065.94, 782,552.94 and 312,416.52 is: 431,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,065.94 : 782,552.94 = 312,416.52 : x
  2. Step 2: Convert to fraction form
    567,065.94/782,552.94 = 312,416.52/x
  3. Step 3: Cross multiply
    567,065.94x = 782,552.94 × 312,416.52
  4. Step 4: Simplify right side
    567,065.94x = 244,482,466,230.57
  5. Step 5: Solve for x
    x = 244,482,466,230.57/567,065.94
  6. Step 6: Final answer
    x = 431,135.87

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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.