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Finding the Fourth Proportional to 433,463.43, 598,202.78 and 242,465.43

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Solution

The fourth proportional to 433,463.43, 598,202.78 and 242,465.43 is: 334,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,463.43 : 598,202.78 = 242,465.43 : x
  2. Step 2: Convert to fraction form
    433,463.43/598,202.78 = 242,465.43/x
  3. Step 3: Cross multiply
    433,463.43x = 598,202.78 × 242,465.43
  4. Step 4: Simplify right side
    433,463.43x = 145,043,494,279.90
  5. Step 5: Solve for x
    x = 145,043,494,279.90/433,463.43
  6. Step 6: Final answer
    x = 334,615.30

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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.