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Finding the Fourth Proportional to 274,969.40, 412,454.10 and 227,730.20

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Solution

The fourth proportional to 274,969.40, 412,454.10 and 227,730.20 is: 341,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,969.40 : 412,454.10 = 227,730.20 : x
  2. Step 2: Convert to fraction form
    274,969.40/412,454.10 = 227,730.20/x
  3. Step 3: Cross multiply
    274,969.40x = 412,454.10 × 227,730.20
  4. Step 4: Simplify right side
    274,969.40x = 93,928,254,683.82
  5. Step 5: Solve for x
    x = 93,928,254,683.82/274,969.40
  6. Step 6: Final answer
    x = 341,595.30

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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.