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Finding the Fourth Proportional to 656,414.44, 905,830.50 and 414,826.60

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Solution

The fourth proportional to 656,414.44, 905,830.50 and 414,826.60 is: 572,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,414.44 : 905,830.50 = 414,826.60 : x
  2. Step 2: Convert to fraction form
    656,414.44/905,830.50 = 414,826.60/x
  3. Step 3: Cross multiply
    656,414.44x = 905,830.50 × 414,826.60
  4. Step 4: Simplify right side
    656,414.44x = 375,762,586,491.30
  5. Step 5: Solve for x
    x = 375,762,586,491.30/656,414.44
  6. Step 6: Final answer
    x = 572,447.17

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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.