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Finding the Fourth Proportional to 473,685.13, 654,121.92 and 304,214.50

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Solution

The fourth proportional to 473,685.13, 654,121.92 and 304,214.50 is: 420,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,685.13 : 654,121.92 = 304,214.50 : x
  2. Step 2: Convert to fraction form
    473,685.13/654,121.92 = 304,214.50/x
  3. Step 3: Cross multiply
    473,685.13x = 654,121.92 × 304,214.50
  4. Step 4: Simplify right side
    473,685.13x = 198,993,372,831.84
  5. Step 5: Solve for x
    x = 198,993,372,831.84/473,685.13
  6. Step 6: Final answer
    x = 420,096.30

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Why These Related Problems?

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