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Finding the Fourth Proportional to 472,597.56, 708,283.98 and 191,961.72

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Solution

The fourth proportional to 472,597.56, 708,283.98 and 191,961.72 is: 287,693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,597.56 : 708,283.98 = 191,961.72 : x
  2. Step 2: Convert to fraction form
    472,597.56/708,283.98 = 191,961.72/x
  3. Step 3: Cross multiply
    472,597.56x = 708,283.98 × 191,961.72
  4. Step 4: Simplify right side
    472,597.56x = 135,963,411,049.25
  5. Step 5: Solve for x
    x = 135,963,411,049.25/472,597.56
  6. Step 6: Final answer
    x = 287,693.85

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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.