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Finding the Fourth Proportional to 376,674.50, 519,814.63 and 204,595.83

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Solution

The fourth proportional to 376,674.50, 519,814.63 and 204,595.83 is: 282,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,674.50 : 519,814.63 = 204,595.83 : x
  2. Step 2: Convert to fraction form
    376,674.50/519,814.63 = 204,595.83/x
  3. Step 3: Cross multiply
    376,674.50x = 519,814.63 × 204,595.83
  4. Step 4: Simplify right side
    376,674.50x = 106,351,905,159.50
  5. Step 5: Solve for x
    x = 106,351,905,159.50/376,674.50
  6. Step 6: Final answer
    x = 282,344.32

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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.