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Finding the Fourth Proportional to 405,760.76, 608,808.82 and 177,938.50

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Solution

The fourth proportional to 405,760.76, 608,808.82 and 177,938.50 is: 266,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,760.76 : 608,808.82 = 177,938.50 : x
  2. Step 2: Convert to fraction form
    405,760.76/608,808.82 = 177,938.50/x
  3. Step 3: Cross multiply
    405,760.76x = 608,808.82 × 177,938.50
  4. Step 4: Simplify right side
    405,760.76x = 108,330,526,250.70
  5. Step 5: Solve for x
    x = 108,330,526,250.70/405,760.76
  6. Step 6: Final answer
    x = 266,981.28

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1.5x scale

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.