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Finding the Fourth Proportional to 377,707.50, 521,274 and 282,048.12

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Solution

The fourth proportional to 377,707.50, 521,274 and 282,048.12 is: 389,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,707.50 : 521,274 = 282,048.12 : x
  2. Step 2: Convert to fraction form
    377,707.50/521,274 = 282,048.12/x
  3. Step 3: Cross multiply
    377,707.50x = 521,274 × 282,048.12
  4. Step 4: Simplify right side
    377,707.50x = 147,024,351,704.88
  5. Step 5: Solve for x
    x = 147,024,351,704.88/377,707.50
  6. Step 6: Final answer
    x = 389,254.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.