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Finding the Fourth Proportional to 457,015.30, 685,070.97 and 216,706.48

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Solution

The fourth proportional to 457,015.30, 685,070.97 and 216,706.48 is: 324,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,015.30 : 685,070.97 = 216,706.48 : x
  2. Step 2: Convert to fraction form
    457,015.30/685,070.97 = 216,706.48/x
  3. Step 3: Cross multiply
    457,015.30x = 685,070.97 × 216,706.48
  4. Step 4: Simplify right side
    457,015.30x = 148,459,318,458.89
  5. Step 5: Solve for x
    x = 148,459,318,458.89/457,015.30
  6. Step 6: Final answer
    x = 324,845.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.