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Finding the Fourth Proportional to 493,802.98, 741,688.62 and 465,950.32

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Solution

The fourth proportional to 493,802.98, 741,688.62 and 465,950.32 is: 699,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,802.98 : 741,688.62 = 465,950.32 : x
  2. Step 2: Convert to fraction form
    493,802.98/741,688.62 = 465,950.32/x
  3. Step 3: Cross multiply
    493,802.98x = 741,688.62 × 465,950.32
  4. Step 4: Simplify right side
    493,802.98x = 345,590,049,829.36
  5. Step 5: Solve for x
    x = 345,590,049,829.36/493,802.98
  6. Step 6: Final answer
    x = 699,854.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.