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Finding the Fourth Proportional to 470,347.40, 649,182.12 and 289,215.20

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Solution

The fourth proportional to 470,347.40, 649,182.12 and 289,215.20 is: 399,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,347.40 : 649,182.12 = 289,215.20 : x
  2. Step 2: Convert to fraction form
    470,347.40/649,182.12 = 289,215.20/x
  3. Step 3: Cross multiply
    470,347.40x = 649,182.12 × 289,215.20
  4. Step 4: Simplify right side
    470,347.40x = 187,753,336,672.22
  5. Step 5: Solve for x
    x = 187,753,336,672.22/470,347.40
  6. Step 6: Final answer
    x = 399,180.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.