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Finding the Fourth Proportional to 580,689.54, 801,416.16 and 339,031.98

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Solution

The fourth proportional to 580,689.54, 801,416.16 and 339,031.98 is: 467,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,689.54 : 801,416.16 = 339,031.98 : x
  2. Step 2: Convert to fraction form
    580,689.54/801,416.16 = 339,031.98/x
  3. Step 3: Cross multiply
    580,689.54x = 801,416.16 × 339,031.98
  4. Step 4: Simplify right side
    580,689.54x = 271,705,707,528.80
  5. Step 5: Solve for x
    x = 271,705,707,528.80/580,689.54
  6. Step 6: Final answer
    x = 467,901.85

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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.