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Finding the Fourth Proportional to 511,630.92, 705,878.82 and 296,692.56

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Solution

The fourth proportional to 511,630.92, 705,878.82 and 296,692.56 is: 409,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,630.92 : 705,878.82 = 296,692.56 : x
  2. Step 2: Convert to fraction form
    511,630.92/705,878.82 = 296,692.56/x
  3. Step 3: Cross multiply
    511,630.92x = 705,878.82 × 296,692.56
  4. Step 4: Simplify right side
    511,630.92x = 209,428,994,155.58
  5. Step 5: Solve for x
    x = 209,428,994,155.58/511,630.92
  6. Step 6: Final answer
    x = 409,336.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.