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Finding the Fourth Proportional to 355,208.56, 532,812.84 and 144,862.96

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Solution

The fourth proportional to 355,208.56, 532,812.84 and 144,862.96 is: 217,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,208.56 : 532,812.84 = 144,862.96 : x
  2. Step 2: Convert to fraction form
    355,208.56/532,812.84 = 144,862.96/x
  3. Step 3: Cross multiply
    355,208.56x = 532,812.84 × 144,862.96
  4. Step 4: Simplify right side
    355,208.56x = 77,184,845,128.41
  5. Step 5: Solve for x
    x = 77,184,845,128.41/355,208.56
  6. Step 6: Final answer
    x = 217,294.44

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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.