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Finding the Fourth Proportional to 510,529.84, 765,847.14 and 195,251.92

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Solution

The fourth proportional to 510,529.84, 765,847.14 and 195,251.92 is: 292,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,529.84 : 765,847.14 = 195,251.92 : x
  2. Step 2: Convert to fraction form
    510,529.84/765,847.14 = 195,251.92/x
  3. Step 3: Cross multiply
    510,529.84x = 765,847.14 × 195,251.92
  4. Step 4: Simplify right side
    510,529.84x = 149,533,124,511.51
  5. Step 5: Solve for x
    x = 149,533,124,511.51/510,529.84
  6. Step 6: Final answer
    x = 292,897.91

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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.