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Finding the Fourth Proportional to 441,021.32, 608,635.98 and 259,854

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Solution

The fourth proportional to 441,021.32, 608,635.98 and 259,854 is: 358,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,021.32 : 608,635.98 = 259,854 : x
  2. Step 2: Convert to fraction form
    441,021.32/608,635.98 = 259,854/x
  3. Step 3: Cross multiply
    441,021.32x = 608,635.98 × 259,854
  4. Step 4: Simplify right side
    441,021.32x = 158,156,493,946.92
  5. Step 5: Solve for x
    x = 158,156,493,946.92/441,021.32
  6. Step 6: Final answer
    x = 358,614.17

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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.