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Finding the Fourth Proportional to 473,696.46, 654,137.64 and 304,225.92

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Solution

The fourth proportional to 473,696.46, 654,137.64 and 304,225.92 is: 420,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,696.46 : 654,137.64 = 304,225.92 : x
  2. Step 2: Convert to fraction form
    473,696.46/654,137.64 = 304,225.92/x
  3. Step 3: Cross multiply
    473,696.46x = 654,137.64 × 304,225.92
  4. Step 4: Simplify right side
    473,696.46x = 199,005,625,335.63
  5. Step 5: Solve for x
    x = 199,005,625,335.63/473,696.46
  6. Step 6: Final answer
    x = 420,112.12

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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.