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Finding the Fourth Proportional to 355,443.70, 532,971.15 and 144,843.70

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Solution

The fourth proportional to 355,443.70, 532,971.15 and 144,843.70 is: 217,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,443.70 : 532,971.15 = 144,843.70 : x
  2. Step 2: Convert to fraction form
    355,443.70/532,971.15 = 144,843.70/x
  3. Step 3: Cross multiply
    355,443.70x = 532,971.15 × 144,843.70
  4. Step 4: Simplify right side
    355,443.70x = 77,197,513,359.26
  5. Step 5: Solve for x
    x = 77,197,513,359.26/355,443.70
  6. Step 6: Final answer
    x = 217,186.33

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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.