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Finding the Fourth Proportional to 596,035.70, 822,834 and 459,763.73

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Solution

The fourth proportional to 596,035.70, 822,834 and 459,763.73 is: 634,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,035.70 : 822,834 = 459,763.73 : x
  2. Step 2: Convert to fraction form
    596,035.70/822,834 = 459,763.73/x
  3. Step 3: Cross multiply
    596,035.70x = 822,834 × 459,763.73
  4. Step 4: Simplify right side
    596,035.70x = 378,309,229,010.82
  5. Step 5: Solve for x
    x = 378,309,229,010.82/596,035.70
  6. Step 6: Final answer
    x = 634,709.01

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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.