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Finding the Fourth Proportional to 297,415.40, 410,261.45 and 189,864.20

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Solution

The fourth proportional to 297,415.40, 410,261.45 and 189,864.20 is: 261,902.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,415.40 : 410,261.45 = 189,864.20 : x
  2. Step 2: Convert to fraction form
    297,415.40/410,261.45 = 189,864.20/x
  3. Step 3: Cross multiply
    297,415.40x = 410,261.45 × 189,864.20
  4. Step 4: Simplify right side
    297,415.40x = 77,893,962,071.42
  5. Step 5: Solve for x
    x = 77,893,962,071.42/297,415.40
  6. Step 6: Final answer
    x = 261,902.93

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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.