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Finding the Fourth Proportional to 433,953.76, 598,849.50 and 242,974

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Solution

The fourth proportional to 433,953.76, 598,849.50 and 242,974 is: 335,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,953.76 : 598,849.50 = 242,974 : x
  2. Step 2: Convert to fraction form
    433,953.76/598,849.50 = 242,974/x
  3. Step 3: Cross multiply
    433,953.76x = 598,849.50 × 242,974
  4. Step 4: Simplify right side
    433,953.76x = 145,504,858,413
  5. Step 5: Solve for x
    x = 145,504,858,413/433,953.76
  6. Step 6: Final answer
    x = 335,300.37

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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.