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Finding the Fourth Proportional to 382,212.81, 573,319.49 and 97,904.43

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Solution

The fourth proportional to 382,212.81, 573,319.49 and 97,904.43 is: 146,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,212.81 : 573,319.49 = 97,904.43 : x
  2. Step 2: Convert to fraction form
    382,212.81/573,319.49 = 97,904.43/x
  3. Step 3: Cross multiply
    382,212.81x = 573,319.49 × 97,904.43
  4. Step 4: Simplify right side
    382,212.81x = 56,130,517,386.82
  5. Step 5: Solve for x
    x = 56,130,517,386.82/382,212.81
  6. Step 6: Final answer
    x = 146,856.71

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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.