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Finding the Fourth Proportional to 377,111.40, 520,422.64 and 205,039.20

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Solution

The fourth proportional to 377,111.40, 520,422.64 and 205,039.20 is: 282,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,111.40 : 520,422.64 = 205,039.20 : x
  2. Step 2: Convert to fraction form
    377,111.40/520,422.64 = 205,039.20/x
  3. Step 3: Cross multiply
    377,111.40x = 520,422.64 × 205,039.20
  4. Step 4: Simplify right side
    377,111.40x = 106,707,041,767.49
  5. Step 5: Solve for x
    x = 106,707,041,767.49/377,111.40
  6. Step 6: Final answer
    x = 282,958.94

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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.