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Finding the Fourth Proportional to 453,612.30, 680,418.45 and 313,644.30

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Solution

The fourth proportional to 453,612.30, 680,418.45 and 313,644.30 is: 470,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,612.30 : 680,418.45 = 313,644.30 : x
  2. Step 2: Convert to fraction form
    453,612.30/680,418.45 = 313,644.30/x
  3. Step 3: Cross multiply
    453,612.30x = 680,418.45 × 313,644.30
  4. Step 4: Simplify right side
    453,612.30x = 213,409,368,457.34
  5. Step 5: Solve for x
    x = 213,409,368,457.34/453,612.30
  6. Step 6: Final answer
    x = 470,466.45

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Similar ratio
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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.