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Finding the Fourth Proportional to 354,942.84, 532,267.38 and 144,437.88

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Solution

The fourth proportional to 354,942.84, 532,267.38 and 144,437.88 is: 216,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,942.84 : 532,267.38 = 144,437.88 : x
  2. Step 2: Convert to fraction form
    354,942.84/532,267.38 = 144,437.88/x
  3. Step 3: Cross multiply
    354,942.84x = 532,267.38 × 144,437.88
  4. Step 4: Simplify right side
    354,942.84x = 76,879,571,960.35
  5. Step 5: Solve for x
    x = 76,879,571,960.35/354,942.84
  6. Step 6: Final answer
    x = 216,597.05

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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.