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Finding the Fourth Proportional to 354,897.81, 532,084.28 and 214,625.25

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Solution

The fourth proportional to 354,897.81, 532,084.28 and 214,625.25 is: 321,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,897.81 : 532,084.28 = 214,625.25 : x
  2. Step 2: Convert to fraction form
    354,897.81/532,084.28 = 214,625.25/x
  3. Step 3: Cross multiply
    354,897.81x = 532,084.28 × 214,625.25
  4. Step 4: Simplify right side
    354,897.81x = 114,198,722,409.72
  5. Step 5: Solve for x
    x = 114,198,722,409.72/354,897.81
  6. Step 6: Final answer
    x = 321,779.17

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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.