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Finding the Fourth Proportional to 280,757.98, 387,446.16 and 153,433.56

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Solution

The fourth proportional to 280,757.98, 387,446.16 and 153,433.56 is: 211,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,757.98 : 387,446.16 = 153,433.56 : x
  2. Step 2: Convert to fraction form
    280,757.98/387,446.16 = 153,433.56/x
  3. Step 3: Cross multiply
    280,757.98x = 387,446.16 × 153,433.56
  4. Step 4: Simplify right side
    280,757.98x = 59,447,243,637.13
  5. Step 5: Solve for x
    x = 59,447,243,637.13/280,757.98
  6. Step 6: Final answer
    x = 211,738.39

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1.5x scale

Why These Related Problems?

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