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Finding the Fourth Proportional to 497,901.92, 746,853.32 and 213,407.84

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Solution

The fourth proportional to 497,901.92, 746,853.32 and 213,407.84 is: 320,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,901.92 : 746,853.32 = 213,407.84 : x
  2. Step 2: Convert to fraction form
    497,901.92/746,853.32 = 213,407.84/x
  3. Step 3: Cross multiply
    497,901.92x = 746,853.32 × 213,407.84
  4. Step 4: Simplify right side
    497,901.92x = 159,384,356,218.68
  5. Step 5: Solve for x
    x = 159,384,356,218.68/497,901.92
  6. Step 6: Final answer
    x = 320,111.96

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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.