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Finding the Fourth Proportional to 570,970.12, 856,580.46 and 234,013

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Solution

The fourth proportional to 570,970.12, 856,580.46 and 234,013 is: 351,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,970.12 : 856,580.46 = 234,013 : x
  2. Step 2: Convert to fraction form
    570,970.12/856,580.46 = 234,013/x
  3. Step 3: Cross multiply
    570,970.12x = 856,580.46 × 234,013
  4. Step 4: Simplify right side
    570,970.12x = 200,450,963,185.98
  5. Step 5: Solve for x
    x = 200,450,963,185.98/570,970.12
  6. Step 6: Final answer
    x = 351,070.85

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Why These Related Problems?

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