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Finding the Fourth Proportional to 527,114.26, 727,370.82 and 312,219.64

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Solution

The fourth proportional to 527,114.26, 727,370.82 and 312,219.64 is: 430,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,114.26 : 727,370.82 = 312,219.64 : x
  2. Step 2: Convert to fraction form
    527,114.26/727,370.82 = 312,219.64/x
  3. Step 3: Cross multiply
    527,114.26x = 727,370.82 × 312,219.64
  4. Step 4: Simplify right side
    527,114.26x = 227,099,455,566.91
  5. Step 5: Solve for x
    x = 227,099,455,566.91/527,114.26
  6. Step 6: Final answer
    x = 430,835.35

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