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Finding the Fourth Proportional to 590,654.16, 816,168.96 and 420,593.04

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Solution

The fourth proportional to 590,654.16, 816,168.96 and 420,593.04 is: 581,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,654.16 : 816,168.96 = 420,593.04 : x
  2. Step 2: Convert to fraction form
    590,654.16/816,168.96 = 420,593.04/x
  3. Step 3: Cross multiply
    590,654.16x = 816,168.96 × 420,593.04
  4. Step 4: Simplify right side
    590,654.16x = 343,274,984,040.04
  5. Step 5: Solve for x
    x = 343,274,984,040.04/590,654.16
  6. Step 6: Final answer
    x = 581,177.63

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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.