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Finding the Fourth Proportional to 567,269.92, 782,818.06 and 309,153.50

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Solution

The fourth proportional to 567,269.92, 782,818.06 and 309,153.50 is: 426,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,269.92 : 782,818.06 = 309,153.50 : x
  2. Step 2: Convert to fraction form
    567,269.92/782,818.06 = 309,153.50/x
  3. Step 3: Cross multiply
    567,269.92x = 782,818.06 × 309,153.50
  4. Step 4: Simplify right side
    567,269.92x = 242,010,943,112.21
  5. Step 5: Solve for x
    x = 242,010,943,112.21/567,269.92
  6. Step 6: Final answer
    x = 426,623.97

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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.