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Finding the Fourth Proportional to 598,420.16, 825,892.92 and 343,770.80

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Solution

The fourth proportional to 598,420.16, 825,892.92 and 343,770.80 is: 474,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,420.16 : 825,892.92 = 343,770.80 : x
  2. Step 2: Convert to fraction form
    598,420.16/825,892.92 = 343,770.80/x
  3. Step 3: Cross multiply
    598,420.16x = 825,892.92 × 343,770.80
  4. Step 4: Simplify right side
    598,420.16x = 283,917,869,822.74
  5. Step 5: Solve for x
    x = 283,917,869,822.74/598,420.16
  6. Step 6: Final answer
    x = 474,445.70

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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.