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Finding the Fourth Proportional to 450,092.92, 675,471.66 and 213,436.39

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Solution

The fourth proportional to 450,092.92, 675,471.66 and 213,436.39 is: 320,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,092.92 : 675,471.66 = 213,436.39 : x
  2. Step 2: Convert to fraction form
    450,092.92/675,471.66 = 213,436.39/x
  3. Step 3: Cross multiply
    450,092.92x = 675,471.66 × 213,436.39
  4. Step 4: Simplify right side
    450,092.92x = 144,170,232,657.71
  5. Step 5: Solve for x
    x = 144,170,232,657.71/450,092.92
  6. Step 6: Final answer
    x = 320,312.15

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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.