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Finding the Fourth Proportional to 567,126, 782,624.75 and 309,006.36

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Solution

The fourth proportional to 567,126, 782,624.75 and 309,006.36 is: 426,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,126 : 782,624.75 = 309,006.36 : x
  2. Step 2: Convert to fraction form
    567,126/782,624.75 = 309,006.36/x
  3. Step 3: Cross multiply
    567,126x = 782,624.75 × 309,006.36
  4. Step 4: Simplify right side
    567,126x = 241,836,023,698.38
  5. Step 5: Solve for x
    x = 241,836,023,698.38/567,126
  6. Step 6: Final answer
    x = 426,423.80

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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.