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Finding the Fourth Proportional to 354,575.84, 531,963.84 and 144,364.64

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Solution

The fourth proportional to 354,575.84, 531,963.84 and 144,364.64 is: 216,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,575.84 : 531,963.84 = 144,364.64 : x
  2. Step 2: Convert to fraction form
    354,575.84/531,963.84 = 144,364.64/x
  3. Step 3: Cross multiply
    354,575.84x = 531,963.84 × 144,364.64
  4. Step 4: Simplify right side
    354,575.84x = 76,796,768,254.62
  5. Step 5: Solve for x
    x = 76,796,768,254.62/354,575.84
  6. Step 6: Final answer
    x = 216,587.71

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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.