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Finding the Fourth Proportional to 535,403.46, 802,034.21 and 322,053.63

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Solution

The fourth proportional to 535,403.46, 802,034.21 and 322,053.63 is: 482,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,403.46 : 802,034.21 = 322,053.63 : x
  2. Step 2: Convert to fraction form
    535,403.46/802,034.21 = 322,053.63/x
  3. Step 3: Cross multiply
    535,403.46x = 802,034.21 × 322,053.63
  4. Step 4: Simplify right side
    535,403.46x = 258,298,028,714.68
  5. Step 5: Solve for x
    x = 258,298,028,714.68/535,403.46
  6. Step 6: Final answer
    x = 482,436.23

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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.