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Finding the Fourth Proportional to 316,297.40, 474,446.10 and 302,646.20

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Solution

The fourth proportional to 316,297.40, 474,446.10 and 302,646.20 is: 453,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,297.40 : 474,446.10 = 302,646.20 : x
  2. Step 2: Convert to fraction form
    316,297.40/474,446.10 = 302,646.20/x
  3. Step 3: Cross multiply
    316,297.40x = 474,446.10 × 302,646.20
  4. Step 4: Simplify right side
    316,297.40x = 143,589,309,269.82
  5. Step 5: Solve for x
    x = 143,589,309,269.82/316,297.40
  6. Step 6: Final answer
    x = 453,969.30

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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.