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Finding the Fourth Proportional to 382,013.84, 573,269.40 and 145,358.48

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Solution

The fourth proportional to 382,013.84, 573,269.40 and 145,358.48 is: 218,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,013.84 : 573,269.40 = 145,358.48 : x
  2. Step 2: Convert to fraction form
    382,013.84/573,269.40 = 145,358.48/x
  3. Step 3: Cross multiply
    382,013.84x = 573,269.40 × 145,358.48
  4. Step 4: Simplify right side
    382,013.84x = 83,329,568,614.51
  5. Step 5: Solve for x
    x = 83,329,568,614.51/382,013.84
  6. Step 6: Final answer
    x = 218,132.33

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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.