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Finding the Fourth Proportional to 527,148, 727,503.12 and 325,982.88

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Solution

The fourth proportional to 527,148, 727,503.12 and 325,982.88 is: 449,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,148 : 727,503.12 = 325,982.88 : x
  2. Step 2: Convert to fraction form
    527,148/727,503.12 = 325,982.88/x
  3. Step 3: Cross multiply
    527,148x = 727,503.12 × 325,982.88
  4. Step 4: Simplify right side
    527,148x = 237,153,562,266.59
  5. Step 5: Solve for x
    x = 237,153,562,266.59/527,148
  6. Step 6: Final answer
    x = 449,880.42

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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.