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Finding the Fourth Proportional to 382,026.70, 573,040.05 and 97,716.70

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Solution

The fourth proportional to 382,026.70, 573,040.05 and 97,716.70 is: 146,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,026.70 : 573,040.05 = 97,716.70 : x
  2. Step 2: Convert to fraction form
    382,026.70/573,040.05 = 97,716.70/x
  3. Step 3: Cross multiply
    382,026.70x = 573,040.05 × 97,716.70
  4. Step 4: Simplify right side
    382,026.70x = 55,995,582,653.84
  5. Step 5: Solve for x
    x = 55,995,582,653.84/382,026.70
  6. Step 6: Final answer
    x = 146,575.05

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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.