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Finding the Fourth Proportional to 647,961.80, 972,234.30 and 227,539.40

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Solution

The fourth proportional to 647,961.80, 972,234.30 and 227,539.40 is: 341,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,961.80 : 972,234.30 = 227,539.40 : x
  2. Step 2: Convert to fraction form
    647,961.80/972,234.30 = 227,539.40/x
  3. Step 3: Cross multiply
    647,961.80x = 972,234.30 × 227,539.40
  4. Step 4: Simplify right side
    647,961.80x = 221,221,609,281.42
  5. Step 5: Solve for x
    x = 221,221,609,281.42/647,961.80
  6. Step 6: Final answer
    x = 341,411.50

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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.