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Finding the Fourth Proportional to 527,084.34, 727,081.29 and 312,014.82

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Solution

The fourth proportional to 527,084.34, 727,081.29 and 312,014.82 is: 430,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,084.34 : 727,081.29 = 312,014.82 : x
  2. Step 2: Convert to fraction form
    527,084.34/727,081.29 = 312,014.82/x
  3. Step 3: Cross multiply
    527,084.34x = 727,081.29 × 312,014.82
  4. Step 4: Simplify right side
    527,084.34x = 226,860,137,824.72
  5. Step 5: Solve for x
    x = 226,860,137,824.72/527,084.34
  6. Step 6: Final answer
    x = 430,405.76

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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.