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Finding the Fourth Proportional to 496,057.19, 683,545.70 and 469,260.77

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Solution

The fourth proportional to 496,057.19, 683,545.70 and 469,260.77 is: 646,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,057.19 : 683,545.70 = 469,260.77 : x
  2. Step 2: Convert to fraction form
    496,057.19/683,545.70 = 469,260.77/x
  3. Step 3: Cross multiply
    496,057.19x = 683,545.70 × 469,260.77
  4. Step 4: Simplify right side
    496,057.19x = 320,761,179,267.61
  5. Step 5: Solve for x
    x = 320,761,179,267.61/496,057.19
  6. Step 6: Final answer
    x = 646,621.38

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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.