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Finding the Fourth Proportional to 475,185.68, 712,692.41 and 190,864.74

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Solution

The fourth proportional to 475,185.68, 712,692.41 and 190,864.74 is: 286,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,185.68 : 712,692.41 = 190,864.74 : x
  2. Step 2: Convert to fraction form
    475,185.68/712,692.41 = 190,864.74/x
  3. Step 3: Cross multiply
    475,185.68x = 712,692.41 × 190,864.74
  4. Step 4: Simplify right side
    475,185.68x = 136,027,850,580.30
  5. Step 5: Solve for x
    x = 136,027,850,580.30/475,185.68
  6. Step 6: Final answer
    x = 286,262.52

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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.