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Finding the Fourth Proportional to 484,837.34, 725,758.32 and 315,994.46

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Solution

The fourth proportional to 484,837.34, 725,758.32 and 315,994.46 is: 473,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,837.34 : 725,758.32 = 315,994.46 : x
  2. Step 2: Convert to fraction form
    484,837.34/725,758.32 = 315,994.46/x
  3. Step 3: Cross multiply
    484,837.34x = 725,758.32 × 315,994.46
  4. Step 4: Simplify right side
    484,837.34x = 229,335,608,418.91
  5. Step 5: Solve for x
    x = 229,335,608,418.91/484,837.34
  6. Step 6: Final answer
    x = 473,015.57

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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.