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Finding the Fourth Proportional to 323,415.40, 485,123.10 and 309,764.20

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Solution

The fourth proportional to 323,415.40, 485,123.10 and 309,764.20 is: 464,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,415.40 : 485,123.10 = 309,764.20 : x
  2. Step 2: Convert to fraction form
    323,415.40/485,123.10 = 309,764.20/x
  3. Step 3: Cross multiply
    323,415.40x = 485,123.10 × 309,764.20
  4. Step 4: Simplify right side
    323,415.40x = 150,273,768,973.02
  5. Step 5: Solve for x
    x = 150,273,768,973.02/323,415.40
  6. Step 6: Final answer
    x = 464,646.30

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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.