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Finding the Fourth Proportional to 325,323.96, 448,947 and 182,084

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Solution

The fourth proportional to 325,323.96, 448,947 and 182,084 is: 251,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,323.96 : 448,947 = 182,084 : x
  2. Step 2: Convert to fraction form
    325,323.96/448,947 = 182,084/x
  3. Step 3: Cross multiply
    325,323.96x = 448,947 × 182,084
  4. Step 4: Simplify right side
    325,323.96x = 81,746,065,548
  5. Step 5: Solve for x
    x = 81,746,065,548/325,323.96
  6. Step 6: Final answer
    x = 251,275.88

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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.