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Finding the Fourth Proportional to 531,422.40, 733,326.14 and 298,884.18

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Solution

The fourth proportional to 531,422.40, 733,326.14 and 298,884.18 is: 412,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,422.40 : 733,326.14 = 298,884.18 : x
  2. Step 2: Convert to fraction form
    531,422.40/733,326.14 = 298,884.18/x
  3. Step 3: Cross multiply
    531,422.40x = 733,326.14 × 298,884.18
  4. Step 4: Simplify right side
    531,422.40x = 219,179,582,026.47
  5. Step 5: Solve for x
    x = 219,179,582,026.47/531,422.40
  6. Step 6: Final answer
    x = 412,439.49

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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.