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Finding the Fourth Proportional to 415,232.60, 621,812.10 and 274,227.80

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Solution

The fourth proportional to 415,232.60, 621,812.10 and 274,227.80 is: 410,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,232.60 : 621,812.10 = 274,227.80 : x
  2. Step 2: Convert to fraction form
    415,232.60/621,812.10 = 274,227.80/x
  3. Step 3: Cross multiply
    415,232.60x = 621,812.10 × 274,227.80
  4. Step 4: Simplify right side
    415,232.60x = 170,518,164,196.38
  5. Step 5: Solve for x
    x = 170,518,164,196.38/415,232.60
  6. Step 6: Final answer
    x = 410,656.98

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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.