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Finding the Fourth Proportional to 453,602.30, 680,403.45 and 313,634.30

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Solution

The fourth proportional to 453,602.30, 680,403.45 and 313,634.30 is: 470,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,602.30 : 680,403.45 = 313,634.30 : x
  2. Step 2: Convert to fraction form
    453,602.30/680,403.45 = 313,634.30/x
  3. Step 3: Cross multiply
    453,602.30x = 680,403.45 × 313,634.30
  4. Step 4: Simplify right side
    453,602.30x = 213,397,859,758.34
  5. Step 5: Solve for x
    x = 213,397,859,758.34/453,602.30
  6. Step 6: Final answer
    x = 470,451.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.