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Finding the Fourth Proportional to 322,040.21, 482,312.84 and 310,830.45

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Solution

The fourth proportional to 322,040.21, 482,312.84 and 310,830.45 is: 465,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,040.21 : 482,312.84 = 310,830.45 : x
  2. Step 2: Convert to fraction form
    322,040.21/482,312.84 = 310,830.45/x
  3. Step 3: Cross multiply
    322,040.21x = 482,312.84 × 310,830.45
  4. Step 4: Simplify right side
    322,040.21x = 149,917,515,543.83
  5. Step 5: Solve for x
    x = 149,917,515,543.83/322,040.21
  6. Step 6: Final answer
    x = 465,524.22

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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.