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Finding the Fourth Proportional to 475,185.43, 712,692.03 and 190,864.49

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Solution

The fourth proportional to 475,185.43, 712,692.03 and 190,864.49 is: 286,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,185.43 : 712,692.03 = 190,864.49 : x
  2. Step 2: Convert to fraction form
    475,185.43/712,692.03 = 190,864.49/x
  3. Step 3: Cross multiply
    475,185.43x = 712,692.03 × 190,864.49
  4. Step 4: Simplify right side
    475,185.43x = 136,027,599,878.69
  5. Step 5: Solve for x
    x = 136,027,599,878.69/475,185.43
  6. Step 6: Final answer
    x = 286,262.15

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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.