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Finding the Fourth Proportional to 319,574, 441,026.16 and 183,651.68

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Solution

The fourth proportional to 319,574, 441,026.16 and 183,651.68 is: 253,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,574 : 441,026.16 = 183,651.68 : x
  2. Step 2: Convert to fraction form
    319,574/441,026.16 = 183,651.68/x
  3. Step 3: Cross multiply
    319,574x = 441,026.16 × 183,651.68
  4. Step 4: Simplify right side
    319,574x = 80,995,195,207.95
  5. Step 5: Solve for x
    x = 80,995,195,207.95/319,574
  6. Step 6: Final answer
    x = 253,447.39

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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.