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Finding the Fourth Proportional to 546,738.80, 820,108.20 and 406,770.80

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Solution

The fourth proportional to 546,738.80, 820,108.20 and 406,770.80 is: 610,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,738.80 : 820,108.20 = 406,770.80 : x
  2. Step 2: Convert to fraction form
    546,738.80/820,108.20 = 406,770.80/x
  3. Step 3: Cross multiply
    546,738.80x = 820,108.20 × 406,770.80
  4. Step 4: Simplify right side
    546,738.80x = 333,596,068,600.56
  5. Step 5: Solve for x
    x = 333,596,068,600.56/546,738.80
  6. Step 6: Final answer
    x = 610,156.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.