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Finding the Fourth Proportional to 334,825.40, 502,238.10 and 194,857.40

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Solution

The fourth proportional to 334,825.40, 502,238.10 and 194,857.40 is: 292,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,825.40 : 502,238.10 = 194,857.40 : x
  2. Step 2: Convert to fraction form
    334,825.40/502,238.10 = 194,857.40/x
  3. Step 3: Cross multiply
    334,825.40x = 502,238.10 × 194,857.40
  4. Step 4: Simplify right side
    334,825.40x = 97,864,810,346.94
  5. Step 5: Solve for x
    x = 97,864,810,346.94/334,825.40
  6. Step 6: Final answer
    x = 292,286.10

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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.