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Finding the Fourth Proportional to 527,005.89, 727,354.25 and 323,169

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Solution

The fourth proportional to 527,005.89, 727,354.25 and 323,169 is: 446,026.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,005.89 : 727,354.25 = 323,169 : x
  2. Step 2: Convert to fraction form
    527,005.89/727,354.25 = 323,169/x
  3. Step 3: Cross multiply
    527,005.89x = 727,354.25 × 323,169
  4. Step 4: Simplify right side
    527,005.89x = 235,058,344,002.41
  5. Step 5: Solve for x
    x = 235,058,344,002.41/527,005.89
  6. Step 6: Final answer
    x = 446,026.03

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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.