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Finding the Fourth Proportional to 475,771.50, 713,657.25 and 143,347.50

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Solution

The fourth proportional to 475,771.50, 713,657.25 and 143,347.50 is: 215,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,771.50 : 713,657.25 = 143,347.50 : x
  2. Step 2: Convert to fraction form
    475,771.50/713,657.25 = 143,347.50/x
  3. Step 3: Cross multiply
    475,771.50x = 713,657.25 × 143,347.50
  4. Step 4: Simplify right side
    475,771.50x = 102,300,982,644.38
  5. Step 5: Solve for x
    x = 102,300,982,644.38/475,771.50
  6. Step 6: Final answer
    x = 215,021.25

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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.